In the process of repair or construction work There are many skills that a homeowner has to learn. He will also need to learn how to calculate the square footage of the walls in order to buy the right amount of paint or wallpaper, learn how to calculate the square footage of the floor in each room in order to purchase laminate flooring, and, finally, how to calculate the area of ​​the room in square meters in order to make an estimate or pay workers.

How to find out the square footage of a room

At a certain stage of time, each of us faces the problem of how to calculate the quadrature. This is necessary both for payment for public utilities, and during renovation, when you need to find out how many rolls of wallpaper are needed to completely cover the walls, or how many cans of varnish or paint you will have to buy.

Of course, how many sq. m in each room of the apartment, you can look at its technical passport, which presents a clear layout of the entire apartment, indicating square meters each room, as well as the total area of ​​the entire house. However, experts say that the quadrature calculation in this document is often done incorrectly, and almost always the area indicated in it and the actual area differ by several square meters. m.

Therefore, those who want to correctly calculate the area of ​​the room will have to do it themselves. This will require the most primitive geometric knowledge. So, how to calculate the square meters of a room. To do this you need to have on hand:

• pencil and paper;
• meter - tape measure;
• calculator.

Knowing the height, width and length of the room, you can use not a manual calculator, but an online calculator, which can easily be found on the Internet. If the area of ​​a room in the shape of a square is calculated, then the formula is used that was used to calculate the area of ​​the square at school. For example, if the size of a room based on a square is 3x3 (meter), then its area is nine square meters. m.

a – length;

b—width.

How to calculate square meters of walls

The online calculator, which is presented on almost all specialized websites, is an excellent opportunity to instantly calculate sq. m. meters of wall surface. It is necessary to calculate this value in order to correctly determine required quantity building material.

A convenient online calculator makes it possible not only to calculate the number of square meters, but also the amount, for example, of wallpaper that is needed for a particular apartment or room.

At all, online calculator is very convenient tool for those who do not know how to calculate sq. meters of wall area, however, to use it, you need to enter all the parameters correctly:

• length;
• width of the room;
• height.

But if for some reason the calculator on the Internet is not available, then you will have to calculate the square footage of the room and the area of ​​the walls in square meters manually, using the following formula:

S = P x C, where:

S – wall area (in sq.m)

P – perimeter of the room (in meters)

C – height of the walls (in meters).

Before you calculate the square meters of the walls, you need to know the perimeter of the room. If the room is a square, then the perimeter is calculated easily: simply multiply the length of the wall by four, but in the case of a rectangle, the perimeter of the rooms is calculated using the formula:

P = (A + B) x 2, where:

A – length (meter)

B – width (meter).

But before you calculate the square meter of the walls, you need to calculate the squares of the door and window openings, if any. This is necessary in order to total area walls in square meters, subtract the area of ​​windows and doors so as not to buy extra building materials.

At the same time, those who are interested in how to calculate the square footage of a room should take into account that the squares of rooms with protrusions or recesses will differ from the same parameter of rooms whose shape is square or rectangular by more than one square meter. That is why each square meter of recessed area or ledge should be added to the resulting area of ​​​​such rooms.

How to calculate the square footage of a room

The easiest way to calculate the square area of ​​rooms that are shaped like a square. However, there are very few such rooms in the house, so you will still need a calculator for mathematical calculations. Those who know well how to calculate the square footage of a room know that measurements need to be taken on a rectangular surface - ceiling, floor, wall.

First you need to take a meter and measure the length and width of this surface. The premises of an apartment are very rarely perfectly correct. Therefore, in order to find out a relatively accurate square area, you should take not one, but several measurements. For example, it is well known that smooth walls- a great rarity, so it is best to measure the floors of the rooms first at one end, then in the middle and at the very end.

After this, by finding the arithmetic mean, it is already possible to obtain a relatively clear picture. It is quite simple to calculate the arithmetic average: for this, the data measured with a meter in several places are added up, and the resulting sum is divided by the number of measurements.

Thus, after the width and length of the room have been obtained, you can already find out the footage (in sq. m). The formula for this is extremely simple: the width, for example, 3 meters, is multiplied by the height, for example, 2 meters. This formula allows you to accurately calculate the footage of rooms with the correct shape. But if the room is of a non-standard shape, if it has niches, columns, ledges, etc., it must first be divided into shapes convenient for measurements - into a square or rectangle.

For example, niches are measured separately, protrusions too, the same goes for columns and other existing interior elements, which are also measured separately. Suppose there are two niches created in the room. To find out the floor area in square meters, you need to measure the length and width of the room itself, then the first niche, and then the second niche. Both niche lengths are added up and written down on paper. Then the width of these niches is added up. To find out the number of square meters, the resulting two figures are multiplied and added to the total square meters of the main room.

In the case of a non-standard layout, the space of the rooms is divided into convenient components. It can be either a square and a rectangle, or a triangle and even a circle. And to calculate sq. m of each of these figures, you need to use the appropriate formula.

For example, rectangle and square are considered to be length times width. For a circle, the formula for calculating the area of ​​a circle is used, and for a triangle, the formula for calculating the area of ​​a triangle is used. All these formulas are in any mathematical reference book, or you can find an online calculator on the Internet. Then all the received data is added up.

Before calculating the square meters of the floor or ceiling of the room irregular shape, you should, as accurately as possible, draw a plan on paper, and then divide it into simple figures, measure their areas and add them to each other. For this method of calculation, you only need a meter or tape measure and a calculator.

The area of ​​a circle must be measured using the formula πr2, where r is the radius of the circle or the length of the segment from the center to any point on the circle. By measuring this distance and then multiplying it by a constant value π on a calculator, we get the area of ​​the circle. If you don’t have a calculator at hand that has a function for the number π, then you need to use the number 3.14. Moreover, at least two people need to measure the circle: one person stands with a tape measure, and the other moves the other end around the circumference.

Calculating the quadrature of more complex curved surfaces will require a little more advanced mathematics. Those who take measurements for practical purposes will find it much easier if they try to imagine a curved surface in the form of several straight lines.

You need to know this

For measurements you need to use the same tape measure. Measurements must be taken by placing it at a right angle, that is, two lines of the room, be it a square or a rectangle, at the junction are measured at a right angle to each other.

If the measured length is a little less than a meter, then when taking measurements, you need to round towards the nearest centimeter. For example, if the width is slightly more than the mark of one meter and eight centimeters, then you should calculate it that way, ignoring millimeters.

Usually the resulting width or length of rooms does not form an even figure: the figures are obtained in meters and centimeters, for example, “3 meters 25 centimeters”. In this case, you can take both a meter and a centimeter as a unit of measurement, getting 3.25 meters or 325 centimeters.

By multiplying the width by the length, you can calculate the squared area. meters. But before that, the data needs to be converted into one unit of measurement. If necessary, you can use a calculator. For example, 3.25m x 4.55m = 14.7875 square meters (m2). You need to round up: 14.7875 is rounded to 14.8 m2.

There is no need to be scrupulous and count millimeters. It is unlikely that walls and floors can be measured manually with an accuracy of one mm, so you need to round to the nearest cm. But if you need the most accurate data, for example, if measurements are taken before making a suspended ceiling, significant figure needs to be increased.

Many of those who plan to use the services of any construction company, it is better to call a specialist before starting work, who, having measured the geometric perimeter, determined the shape of the room, the number of simple and complex shapes - niches and protrusions, niches, as well as determining the values ​​of other quantities, will present a preliminary estimate.

If you have to do and external finishing, then you will also need to measure the roof and the entire structure. Having taken measurements and converted the indicators into unified system units, a specialist will be able not only correct sizes, but also the final result, according to which the upcoming costs will be calculated both for carrying out all construction work and the required volume building materials.

Discussion is closed.

This online calculator helps to calculate, determine and calculate the area of ​​land in online mode. The presented program can correctly suggest how to calculate the area of ​​land plots of irregular shape.

Important! The important area should fit approximately into the circle. Otherwise, the calculations will not be entirely accurate.

We indicate all data in meters

A B, D A, C D, B C— The size of each side of the plot.

According to the entered data, our program performs online calculations and determines the area of ​​land in square meters, acres, acres and hectares.

Method for determining the size of a plot manually

To correctly calculate the area of ​​plots, you do not need to use complex tools. We take wooden pegs or metal rods and install them in the corners of our site. Next, using a measuring tape, determine the width and length of the plot. As a rule, it is enough to measure one width and one length, for rectangular or equilateral areas. For example, we have the following data: width – 20 meters and length – 40 meters.

Next we move on to calculating the area of ​​the plot. If the shape of the area is correct, you can use the geometric formula for determining the area (S) of a rectangle. According to this formula, you need to multiply the width (20) by the length (40), that is, the product of the lengths of the two sides. In our case S=800 m².

After we have determined our area, we can determine the number of acres per plot of land. According to generally accepted data, one hundred square meters is 100 m². Next, using simple arithmetic, we will divide our parameter S by 100. The finished result will be equal to the size of the plot in acres. For our example, this result is 8. Thus, we find that the area of ​​the plot is eight acres.

In the case where the land area is very large, it is best to carry out all measurements in other units - in hectares. According to generally accepted units of measurement - 1 Ha = 100 acres. For example, if our land plot, according to the measurements obtained, is 10,000 m², then in this case its area is equal to 1 hectare or 100 acres.

If your plot is of irregular shape, then the number of acres directly depends on the area. It is for this reason that, using an online calculator, you can correctly calculate the S parameter of the plot, and then divide the result by 100. Thus, you will receive calculations in hundred square meters. This method makes it possible to measure plots of complex shapes, which is very convenient.

General information

Calculation of the area of ​​land plots is based on classical calculations, which are performed according to generally accepted geodetic formulas.

There are several methods available for calculating the area of ​​land - mechanical (calculated according to the plan using measuring palettes), graphic (determined by the project) and analytical (using the area formula based on measured boundary lines).

Today, the most accurate method is deservedly considered to be analytical. Using this method, errors in calculations, as a rule, appear due to errors in the terrain of the measured lines. This method It is also quite complex if the boundaries are curved or the number of angles on the plot is more than ten.

The graphical method is a little easier to calculate. It is best used when the boundaries of the site are presented in the form of a broken line, with a small number of turns.

And the most accessible and simplest method, and the most popular, but at the same time the biggest error - mechanical method. Using this method, you can easily and quickly calculate the area of ​​land in a simple or complex shape.

Among the serious disadvantages of the mechanical or graphical method, the following are distinguished: in addition to errors in measuring the area, during calculations an error is added due to the deformation of the paper or an error in drawing up plans.

Any repair work in a residential area is a very troublesome task. It requires the contractor to have an accurate approach to calculations and correct measurements of the total area in order to draw up an estimate and purchase the required amount of building materials. One of the main questions that arises in initial stage repair, wall area including window and doorways.

If the work is carried out construction crew, then they will do everything on their own, but it is necessary to be able to carry out such calculations. This will help you calculate the exact quadrature not only, but also check the correctness of the workers' calculations.

Measuring tools

To correctly calculate the total quadrature you will need a tool such as:

You can also use special services available on the Internet, however, their accuracy is not always correct, and for maximum accuracy it is better to do everything yourself.

Before calculating the area of ​​the walls of the room, it is necessary to provide free access to them and move furniture aside to allow unhindered movement. This is very important, because from the initial data obtained from the measurement, we obtain the total volume of the room, as well as the square footage of the ceiling and floor.

For maximum accuracy, it is recommended that before taking measurements, mark a straight line slightly above the level of the baseboards using building level or any other long and smooth slats. Next, the tape measure is applied horizontally to the surface and the data obtained is recorded on paper. The next step is to measure the distance from the floor to the ceiling, again leaning the tape measure against the wall.

If the room has the shape of a rectangle, then to obtain the total area of ​​the room it is enough to multiply the resulting width by the length. For example, if the length of the wall is 5 meters and the width is 3, then we multiply 5 by 3, we get 15 squares.

Similarly, we measure each wall and add the resulting values ​​into one total. For example, in a rectangular room there are 2 walls of 15 square meters and 2 of 8, we add these values ​​15x2=30, 8x2=16, 30+16=46. In total, the total surface area of ​​the walls of the room was 46 squares.

Calculate the area of ​​window and door openings

Before calculating the area of ​​the walls, it is necessary to measure the window and door openings in order to subtract this space and find out the quadrature of only the surface being processed. Readings are taken only.

For example, we have a square window whose dimensions are 1.50 in length and 1.60 in width. We carry out similar calculations: 1.50x1.60 = 2.40 m 2. If there are several windows in the room, then each of them is measured separately and the data obtained is added to one sum. A similar operation is carried out with door doors, where readings are taken not from the door itself, but precisely from the opening in the wall.

Conclusion

Now we know how to correctly calculate the area of ​​the walls and can, according to the data received, purchase the required amount of finishing material. Even if the repairs are carried out by special qualified teams, you can always check the correctness of their calculations.

Since the client pays the cost of repairs for each square, and third-party contractors often count in their favor without taking into account windows and doors, this knowledge will help you significantly reduce the cost of repairs, especially when using expensive finishing materials. To be completely sure, it is recommended to carry out all measurements twice, which will avoid possible errors.

If you decide to renovate an apartment or house, first of all you need to choose finishing materials and understand how much of them you need. To do this, you need to correctly calculate the area of ​​​​all surfaces in the apartment. Of course, you can resort to the help of professionals, spending extra money. Or you can do this yourself. How to calculate the area of ​​a room different shapes, this article is devoted to.

Read in the article

Why do you need to know the area of ​​the room and what is needed for calculations?

In what cases is it necessary to calculate the area of ​​a room?

• Of course, first of all to determine the quantity consumables for repair. Many people buy them in reserve and return the excess to the store. However, in in this case a lot of time is wasted, and not all stores provide such a service. Therefore, it is more advisable to correctly calculate the area of ​​​​all surfaces before purchasing.

• In addition, knowing the area, it is easier to plan your budget. After all, even the cost of the work of hired workers in most cases depends on how many square meters they have to process.
• Quantity lighting fixtures also depends on the area. However, in most cases, complex calculations are not resorted to when choosing lamps; this issue is usually resolved experimentally.

• And one last thing. One of the main quantities in an apartment is the volume of the premises (in this case, the area must be multiplied by the height), because depending on it, climate control equipment is selected.

Important! Be sure to check the area when purchasing an apartment, especially if you bought it in a new building. After all, the size of utility bills and often the cost of the living space itself depends on it. For example, the developer (in the case of shared participation in construction) is obliged to reimburse the cost of the missing square meters.

Thus there is huge amount reasons why it is necessary to correctly calculate the area of ​​the room. But where to start? First you need to prepare the room to be measured and the tools.

It is advisable to carry out measurements in a completely empty room. If this is not possible, at least clear the areas near the walls, because it is along them that measurements will be taken.

Important! If the room is rectangular, check that its shape is correct before starting measurements. To do this, compare opposite diagonals. If they are equal, you have a regular equilateral rectangle.

So, to determine the area of ​​the room, the following devices are needed:

1. Roulette. Certainly, electronic device more convenient, but it has a large error. In addition, such a tape measure cannot measure complex shapes; problems may also arise when working with protruding elements. Therefore, the optimal set is a simple tape measure and a ruler. The main thing is to check their accuracy, since many old or children's devices have a significant error.
2. Pencil.
3. A piece of paper for calculations and recording results.
4. Calculator.

Additionally, you may need a long ruler to check the walls are even.

How to calculate square meter?

In most cases, the area of ​​any surface is calculated in square meters. So how to calculate a square meter?

First, if the room is rectangular, you need to measure its length and width. In this case, it is advisable to use a tape measure with marked divisions of centimeters and millimeters. If you only managed to find a ruler with feet, it doesn’t matter, they can easily be converted to square meters.

Next, the two obtained values ​​in centimeters are converted into meters (it’s easier to do this right away) by dividing by 100. Next, the two values ​​are multiplied, the resulting value is the area of ​​the room in square meters. If you have feet, first multiply the resulting values, this will give you square feet. Then, to convert to m2, multiply the resulting value by 0.093 (if the measurements were taken in yards, multiply the result by 0.84). In this case, to calculate square meters, the calculator is great solution.

Interesting! There are many online square meter calculators on the Internet to calculate the area of ​​a room. If you have a computer at hand, this method will be the fastest.

When the figure is received, round it to 2 decimal places; a more precise value will be unnecessary.

How to calculate the area of ​​a room yourself?

A perfect rectangular room is a rarity. How to find out the area of ​​a room with projections, niches or curved slopes? The simplest thing is to measure the lengths of all the walls, as well as the angles between them, and then draw a plan of your room on a piece of paper (the scale will most likely be 1:100, that is, one centimeter on paper will correspond to one meter in the room) . Then you need to divide the room into regular shapes (rectangles, triangles, circles, etc.), if possible, and using area calculation formulas, determine the square footage of each area.

Below are the most popular figures, descriptions of the calculation methods of which will help answer the question: “How to calculate the area of ​​a room yourself?”

How to find the area of ​​a rectangle?

How to calculate the area of ​​a rectangle yourself? A room with a regular rectangular shape is the simplest case. To calculate the area of ​​a rectangle, simply multiply its length and width. However, this situation also has its own nuances:

1. After measuring one of the sides, measure the second one strictly perpendicularly. Otherwise, measurements may result in significant errors.
2. To avoid inaccuracies, measure both parallel walls, since often their lengths are slightly different, and for accuracy it is advisable to take their arithmetic average. That is, add their values ​​and divide by 2.
3. Don’t forget to subtract all kinds of protrusions from the resulting area (or add niches).

Interesting! There are many programs on the Internet for calculating the area of ​​a rectangle; the online calculator is the simplest and most convenient of them.

Calculator for calculating the area of ​​a quadrangular room

How to calculate the area of ​​triangles (rectangular and others)?

In some cases, the corners of the room are severely sloping. Then, when outlining the plan and dividing it into figures, triangular-shaped elements appear. How to calculate the area of ​​triangles?

Try to ensure that all the triangles in your diagram are rectangular. Otherwise, calculating the area of ​​a triangle will be more difficult, and the result will have a greater error.

Essentially right triangle is half of a rectangle, therefore, to find the area of ​​a right triangle, you need to multiply the lengths of its legs (sides adjacent to right angle) and divide the resulting value by 2. If the figure turns out to be not rectangular, you can use (depending on what values ​​are known) one of the following formulas:

1. S=a*h/2, Where h– height of the triangle, A– the side to which it is lowered.
2. S=a*a*sina/2. This formula is suitable for an isosceles triangle (that is, with two identical sides), where A is the length of one of the identical sides, and angle a– the angle between equal sides.
3. S=a*b*sina/2. Also the formula for an isosceles triangle, A- one of the identical sides, b- third party, angle a– angle between a and b.

In addition, you can try to divide any triangle into several rectangular shapes. To do this, draw a line from the vertex to the opposite side of the figure so that it forms a right angle with it.

Calculator for calculating the area of ​​a triangular room

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Calculation of the area of ​​a trapezoid

A trapezoid is a figure that has four sides, two of which are parallel and two of which are not. How to calculate the area of ​​a trapezoid yourself? You can go two ways:

1. Divide the trapezoid into triangles and a rectangle (in some cases you get only one triangle + rectangle), calculate the area of ​​each figure, add them, thereby calculating the area of ​​the trapezoid.
2. Use a simple formula: S= (a+b)*h/2, Where A And b- parallel sides of the figure, h– height (shortest distance) between them.

The formula for calculation is universal, that is, nothing changes depending on the direction and size of the side faces. The main thing is to correctly measure the height of the figure; to do this, take measurements in several places.

How to calculate the area of ​​a circle?

It's quite common to have round projections in rooms (especially living rooms), so it's important to be able to correctly calculate the area of ​​the circle. The main thing is to find out the radius of the circle. To do this, measure the distance from the edge of the arc to the center of the virtual circle, drawing a line between the farthest points of the figure.

Now to calculate the area of ​​a circle we use the formula: S=πR 2, Where π – constant value 3.14, R– radius of the circle.

Calculation of the area of ​​a circle segment

Determining the area of ​​a circle segment is a more difficult task. First, let's define what a segment is? This is a part of a circle bounded by a chord (a line whose beginning and end are points from the radius on the circle).

First of all, you need to find the center of the circle; most often this is easier to do experimentally. For example, asking a friend to stand in the place of the supposed center, give him one end of the tape measure. Describe the expected circle yourself. Thus, having drawn the required segment, you can begin to calculate the area of ​​the circle sector. The formula is quite complicated:

Therefore, it would be more advisable to use online payment on the Internet.

How to calculate the area of ​​a room: procedure

1. Preparatory stage. It is necessary to prepare all the tools and equipment, as well as clear the room.
2. Measurements. Measure the length of all the walls in the room. Please note special attention on the angles, if they are not straight, be sure to write down their value.
3. Recording the results. You can go two ways: draw a plan on a piece of paper or apply the dimensions directly to the floor (if the room is in the rough finishing stage).
4. Computing. Moreover, if the calculations are carried out by calculating individual figures, add them up very carefully, without forgetting anything and making sure that the figures do not overlap each other. The basic formulas and calculation procedure are described above, so there should be no problems with this point.

Important! Measure each length at least twice to avoid inaccuracies and mistakes.

The picture below shows an uneven room. How to calculate square meters in this case? The following procedure must be followed:

1. Find the area of ​​the rectangle, not taking into account its bevel in the upper right corner. To do this, multiply the length of 2.5 by the width of 1.75, resulting in 4.375 m2.
2. We find the area of ​​the beveled area, it is a right triangle, so it turns out: 0.57*0.57/2=0.162.
3. Subtract the second from the first value: 4.375-0.162 = 4.213 m 2.
4. Round to the nearest centimeter: 4.21 m2.

How to calculate the area of ​​walls?

Not a single renovation takes place without replacement or replacement, because this is the most noticeable surface of any room. To give walls an attractive look, several steps are often required. repair work: leveling with plaster and putty, primer, finishing(painting, wallpapering, application). All this is required large number materials, so it is important to know in advance how much you need and how much money it will cost.

Procedure:

• We determine the perimeter. How to calculate the perimeter of a room yourself and correctly? The main thing is to take measurements not only along the baseboards near the floor, but also in the middle and at the top of the wall, since in most modern and old houses the walls are not perfectly even. In this case, a problem may arise with determining the length of a curved section (for example, part of a circle). Of course, you can use special formulas for calculations, but it’s easier to place a flexible tape measure tightly against the wall and carefully record its reading. All obtained values ​​must be added.

Important! When calculating the perimeter, be sure to use a level (especially when taking measurements in the middle of the wall).

• Now you need to measure the height of the room. To do this, again use a level and draw a strictly vertical line on the wall. If you don’t have a level at hand, it doesn’t matter, you can make a vertical plumb line: tie something heavy (for example, a bolt) to a thread and hold it near the ceiling. Under the influence of gravity, the thread will stretch vertically downward, and you (or your assistant) will be able to draw a vertical line.
• Multiply the resulting values ​​and this will be the area of ​​the walls of your room.

Important! If you are not sure about the evenness of the ceilings, or in a given room it is multi-level, you need to count each wall separately.

• Now you need to subtract the area of ​​window and door openings from the resulting value (do this along the slopes). In some cases, windows have a round or triangular formula, then you need to use the formulas given above.

In addition to all of the above, it is worth noting a few more important points, which you should pay attention to when measuring a room:

1. When measuring door and window openings, you should not rely on their correct shape. It is better to double-check everything several times to eliminate errors and errors.
2. When calculating the consumption of building materials, do not forget that some of them will need several layers, that is, we multiply the resulting size of the room by several units before purchasing.
3. When purchasing wallpaper, pay attention to whether the pattern will need to be adjusted; if so, buy it with a large margin. Experts recommend taking even plain wallpaper with a reserve, since the color of different batches differs somewhat, and purchasing more suitable material may be difficult.
4. When calculating the height of a room, you need to know whether this is the final height of the floor, or whether it will rise due to leveling or covering. This point is very important, since in some cases the floor can rise even 10-15 centimeters due to the leveling of a too crooked floor, insulation, and so on.

So, a situation has arisen when you want to find out what the square footage is in a particular room. And, of course, it’s not the walls that interest you, but only the floor. There may be many reasons for asking this parameter. For example, the house has just been completed, and you want to find out how accurately the builders fulfilled your wishes. Or, in the house register, only the usable, living area of ​​a country estate is indicated, and outbuildings are not taken into account, but you urgently need their redevelopment. In general, no matter what reason you give, it will be valid. Therefore, we take up a measuring tape and a calculator.

Floor area calculator

Please indicate the dimensions.

The standard option is a rectangular room, even a schoolchild knows how to calculate the floor area, since this formula is taught in geometry at the very beginning of studying this science. All you need to know is the length and width of the room, these values ​​are multiplied, and the resulting result will correspond to the required quadrature of the room. That is, the formula will look like this: S = a. b, Where a And b- two sides of a rectangle, which in our case is the floor. Built-in wardrobes will not spoil the overall picture at all, especially if the square footage is required for installation suspended ceilings, in this case the sections are simply not taken into account.

It’s another matter if, for example, there is a fireplace. Here the area of ​​the room is calculated based on what it is needed for. If you assemble the same stretch ceiling, then you can forget about the fireplace, especially in the case when the pipe runs deep into the wall and is not attached to it. But if you plan to lay parquet or laminated boards, before calculating the floor area, you need to measure the fireplace and subtract the area it occupies from the square footage of the room. The same is true with a built-in wardrobe, which will only interfere when pouring screed or other work, so it is better to simply disassemble such a structure while finishing is being done.

Calculation of floor area in an irregularly shaped room

Houses and apartments with standard layout usually consist of rooms with a rectangular or square outline, however, in some buildings you can find rooms in which there are niches and alcoves. In this case, the geometry of the floor becomes significantly more complicated, which creates certain problems when installing frames for suspended ceilings or laying parquet floors with a pattern. Judge for yourself - for the first time you enter a spacious hall, which at the end has a long and rather narrow appendage, and not even located at a right angle. Here it is no longer enough to simply multiply the lengths of two adjacent walls, especially since there are significantly more of them.

However, there is a way to calculate the floor area, although it requires the ability to mentally divide the space into separate fragments. That is, you need to take the apartment plan and find simpler ones in the complex geometric shape of the hall: squares, triangles. For example, if the shape of a room resembles the letter “G”, it means that two rectangles are connected in it, cut one off from the other and separately calculate the area for each, and sum up the calculation results.

If an appendage, an alcove, for example, is not located at a right angle to the main part of the room, it means that a triangle has been squeezed between two rectangles, the two sides of which converge at 90 degrees. Its area is calculated simply S = (a . b)/2, where a and b are the legs. If there is no right angle, another formula is needed: S = √(р. (р – а) . (р – b) . (р – с)), here a, b and c represent the sides of the figure, and p is the semi-perimeter and is calculated as follows: p = (a + b + c)/2.

It’s worse if part of the room has the outline of some part of a circle (or, if viewed in volume, a segment of a cylinder). Of course, it may well happen that the closed loggia, inseparable from the living room, has the shape of a regular semicircle. In this case, we calculate its area using the formula S = πR2/2 and sum it with the quadrature of the hall. The most difficult thing here is to find the center of the circle by inscribing it in a square, the intersection of the diagonals will give desired point, from which we draw and measure the radius R.

Determining the area of ​​a segment is more difficult; for this there is a formula F = (απ/180o – sin α)R2/2, where α is the angle between the radii R drawn from the ends of the chord limiting the segment. You can make it simpler by taking an entire sector of the circle (for which you need to find its center) and dividing it into a segment and some triangle. Further, Ssegm = Ssect − Streug, in turn Ssect = 0.5. p. R, here p is the length of the arc, and the area of ​​the equilateral triangle enclosed between the radii R is not difficult to calculate: S = 0.5. a. ha, where a is the length of the base, ha is the height drawn to it. All these values ​​can be obtained using a ruler.

Calculation of the area of ​​a room with several levels

Do you think such rooms don’t exist? It’s completely in vain, a house built on a slope may well have ledges in its layout, for example, so a living room or kitchen can be divided into zones. However, it is not at all necessary to look at the floor, because the ceiling can also consist of several tiers in the most ordinary typical room. Let's say you need to buy paint to paint it. Of course, in general, the areas of the ceiling and floor are equal, but in places where there is a difference in heights, the vertical slopes also have some quadrature. And even taking into account a 10% reserve for purchased materials, they may not be enough. Therefore, we count.

If your levels have a simple shape, with rectangular elements, no difficulties will arise. It is enough to measure the height of the vertical sections with a ruler, find their length and use the formula S = a. b, determine the area with which the quadrature is summed horizontal surfaces. If the edge of the ledge overhangs a lower platform in the form of a cornice, summing the measurements of each tier is not enough, since it will turn out that the underside of the overhanging part is not taken into account. For laying parquet or tiling, these places will not play a special role, but when painting, “white spots” may remain. So in this situation, you should measure the hidden areas with a ruler.

It is better to take measurements with a tape measure or other device closer to the base, since the walls may have a slight curvature, which will give a certain error in the result.

It is most difficult to calculate the area of ​​a room if there are ledges of a round or more complex shape. In this case, you need to accurately measure each arc along the edge, either in short sections, or all at once using a tape measure and using someone else's help. Then, having found the radii and splitting the surfaces into separate geometric shapes, use the above formulas and find the area of ​​each ledge. As for the vertical sections, they were also mentioned above; there is no difference between the straight version and the curved one if the perimeter is known.