If you decide to make repairs in an apartment or house, first of all, you need to choose materials for finishing and understand how many 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, while spending extra money. And you can do it yourself. How to calculate the area of a room different shapes, this article is devoted to.
Read in the article
Why is it necessary to know the area of \u200b\u200bthe room and what is required for calculations?
In what cases is it necessary to calculate the area of \u200b\u200bthe room?
- Of course, first of all, to determine the quantity Supplies for repair. Many people buy them with a margin, and return the surplus to the store. However, in this case, a lot of time is lost, moreover, not all stores provide such a service. Therefore, it is more expedient to correctly calculate the area of \u200b\u200ball surfaces before shopping.
Take note:
- In addition, knowing the area, it is easier to plan your budget. After all, even the cost of the work of employees 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 fixtures; this issue is usually resolved empirically.
- And the last. One of the main values in the apartment is the volume of the premises (in this case, it is necessary to multiply the area by the height), because depending on it, climatic equipment is selected.
Important! Be sure to check the area when buying 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 depend on it. For example, the developer (in the case of equity participation in construction) is obliged to reimburse the cost of the missing square meters.
Thus, there are a huge number of reasons why it is necessary to correctly calculate the area of \u200b\u200bthe room. But where to start? First you need to prepare the measured room and tools.
It is desirable to carry out measurements in a completely vacant room. If this is not possible, clear at least the areas near the walls, because it is along them that measurements will be taken.
Important! If the room is rectangular, check the correctness of its shape 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 \u200b\u200bthe room, the following devices are needed:
- Roulette. Of course, the electronic device is more convenient, but it has a large error. In addition, such a tape measure cannot be measured complex shapes, problems can 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 decent error.
- Pencil.
- A sheet of paper for calculations and recording results.
- Calculator.
In addition, you may need a long ruler to check the evenness of the walls.
How to calculate square meter?
In square meters, in most cases, the area of \u200b\u200bany surface is calculated. So how to calculate square meter?
To begin with, if the room is rectangular, you need to measure its length and width. In this case, it is desirable to use a tape measure with applied divisions of centimeters and millimeters. If you can only find a ruler with feet, it doesn't matter, they can be easily converted to square meters.
Further, the two obtained values \u200b\u200bin centimeters are converted into meters (it’s easier to do it right away) by dividing by 100. Then the two values \u200b\u200bare multiplied, the resulting value is the area of \u200b\u200bthe room in square meters. If you have feet, first multiply the resulting values, so you get square feet. Then, to convert to m 2, multiply the resulting value by 0.093 (if the measurements were made in yards, multiply the result by 0.84). In this case, to calculate square meters, a calculator - perfect solution.
Interesting! There are many on the Internet online calculator ov square meters to calculate the area of the room. If a computer is at hand, this method will be the fastest.
When the figure is received, round it up to 2 decimal places, a more accurate value will be redundant.
How to calculate the area of a room yourself?
Ideal room rectangular shape – a rarity. How to find out the area of a room with ledges, niches or curved bevels? 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 fit 1:100, that is, one centimeter on paper will correspond to one meter in the room) . Then it is necessary to divide the room into regular shapes (rectangles, triangles, circles, and so on), if possible, and using the formulas for calculating the area, determine the quadrature of each section.
Below are the most popular figures, descriptions of the calculation methods of which will help answer the question: "How to calculate the area of \u200b\u200bthe room yourself?".
How to find the area of a rectangle?
How to calculate the area of a rectangle yourself? A regular rectangular room is the simplest case. To calculate the area of a rectangle, simply multiply its length and width. However, there are also some nuances in this situation:
- After measuring one of the sides, the second must be measured strictly perpendicular. Otherwise, measurements can be obtained with a significant error.
- To avoid inaccuracies, measure both parallel walls, as often their lengths are somewhat different, and for accuracy it is desirable to take their arithmetic mean. That is, add their values and divide by 2.
- Do not 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
AT modern life sometimes everyone has to find out the area of \u200b\u200bthe plot, apartment or room. How to calculate area? It would seem that everything is simple: we take measuring objects, measure, and there it will go by itself. No, it won't. Not only measurements, but also some very important nuances will help to do this correctly.
Measurement
In calculating the area, first of all, measurements of the territory are important. This is the right start that will produce results. The result must be accurate, so you will have to measure accordingly, with minimal or no error. To measure you will need:
- tape measure with lock;
- pen;
- pencil;
- notepad or notebook;
- long ruler (meter);
- calculator.
Roulette without a latch will bring additional complexity. Do not use slips of paper if you will be writing a lot. They tend to get lost. Therefore, it is better if you write everything down in a single notebook or notebook.
It is absolutely not necessary to measure along the baseboards. It is enough just to find out the length of the wall, and this can be done anywhere, for example, if the furniture is in the way. You can measure below, above, in the middle. The main thing is strictly parallel to the ceiling and floor. If alone it will be difficult, then it is better to call someone to help.
Observe a strict parallel, diagonally, with the slopes of the ruler, you can not measure in any case. Keep an eye on this, otherwise the results will be wrong!
Rooms without protrusions will be easier to measure. With ledges it is a little more difficult: you have to divide the room into several figures. Calculate the area of each of them, and then add. Most often this is the case.
The length of this or that wall is the side of the figure. Some people think that everything needs to be measured: lengths, heights, and so on. No, when we find the area of a room, we only calculate the floor. The area of the room is the area of the floor and nothing more.
Area calculation
The rooms are different in the shape of the floor. It is by these differences that they judge: the correct figure or the wrong one. Even a small door ledge makes the figure last.
Area is measured in square meters. To calculate a square meter, you need to multiply 1 meter by 1 meter.
The area of the room of the correct form
Let's say the floor of your room has the correct shape: rectangular or square. You calmly measured the lengths of all sides, writing the results in a notebook. Now we can start the calculations. Find the area of a square using the formula: side multiplied by side. The formula for the area of a rectangle is the smaller side times the larger side.
Even if you see that your room is in the shape of a square or rectangle, then still measure all sides, not two of them! Are there deviations? It often happens when it seems to be a square, but the sides are still different in length. This is due to construction errors.
So, to calculate the area of a room of the correct form, you need to use the formulas for the area of \u200b\u200ba square or rectangle. For example, you have one side equal to five meters, like all the others. Multiply 5 by 5 and get 25 square meters. Or, one is 5, and the other is 8. The area will be 40 meters squared.
We use smart devices to calculate the area - video
When the room is irregular
In very frequent cases, this is exactly what happens. As already mentioned, even if there is small ledge in the room, then she irregular shape. Take a closer look at this before jumping to conclusions about the correctness. For example, your room is rectangular, but there are ledges. In such cases, you should not look for formulas for complex shapes in order to find the area. It is enough to divide the room into pieces, that's all. Look for the area of the rectangle, and measure and calculate the areas of the protrusions separately.
Most often, ledges are places in front of thresholds that have the shape of a separate rectangle or trapezoid. If a trapezoid, then multiply half the sum of the two bases (A and B) by the height (H). What is where is shown in the picture. Separately, we consider a rectangular area, the area of \u200b\u200bthe ledge, and then add these two areas. So you can calculate the square meters of the room as a whole.
But what if the ledge is not from the room, but into it? Then it is necessary to consider the area of \u200b\u200bthe correct form, just subtract the protrusion. Shown in the picture. That is, we are looking for the area of a large rectangle (in the picture the sides are marked in red), then we find the area of \u200b\u200bthe ledge, along with the walls, and subtract it from the area of the rectangle.
There are rooms that can be safely called multi-figured. This is, for example, when the room has the shape of some incomprehensible polygon. Here you have to sweat. We take a long ruler and a pencil in our hands. We must try to divide the whole room into correct figures, count their area and put them together. Mark the conditional borders of the shapes with a pencil. Mark the points with a pencil on the floor.
Designer rooms can no longer be divided into correct shapes. Often come across semicircular ledges. You can calculate the square meters of a room that has this shape. The formula for the area of a semicircle will help. It reads like this: the radius multiplied by the number pi (3.14), squared, is divided by two. The picture shows the floor plan. The distance from A to B is the diameter of the circle. A to O is the radius. The radius is half the diameter. Add the area of the semicircle to the area of the rectangle.
It is even more difficult if instead of a semicircle there is only its segment. The sequence for calculating the total area will remain the same. But because of the segment, you have to mess with the corners. It's difficult, but solvable. In addition to the above tools, you will need:
- strong thread;
- medium sized protractor;
- chalk.
We take a thread and tie chalk to it. We fix the other end of the thread to the floor and try to draw it along the arcuate wall so that the thread is taut. We are trying to complete the construction to a circle or to a semicircle. So we get the center and radius. Once completed, draw with chalk.
Before driving with chalk, make sure that it rests exactly in the middle of the arc.
From the center draw two lines to the ends of the arc. We take a protractor and fix the angle between them. The online calculator will help you calculate square meters. Better so, because the formula is complex. 
Everything, the area of the segment was found. Now you can add up its area and the area of the rest of the room.
total area
When the areas of all rooms are found, it will be possible to calculate the square meters of the entire house or apartment. Just add up all the areas of the rooms. So it will turn out total area.
How to calculate wall area - video
There are many situations in which you will need to know the size of your home. Repair, checking bills for public utilities, buying new furniture - in all these cases it is necessary to determine the exact dimensions of the room. To do this, you need to find out the gender. It is the very quadrature on which all further calculations are based.
Not always measuring the floor area is a simple procedureThe complexity of such calculations and the duration of the process directly depend on the complexity and intricacy of the shape of your house. And in order to avoid insurmountable difficulties, let's figure out together the intricacies of this, at first glance, a simple matter.
Floor area calculator
We measure a rectangular floor
In theory, everything is very easy. It is enough to measure the length and width of the room and multiply them together. Simple school formula- S=a*b. But this is in theory, which says that the dimensions opposite sides rectangles are equal. And practice suggests that this is not always the case, that builders are also people, and they are.
Therefore, it is better to take measurements in each direction in three places - near the walls and in the center of the room. Then calculate the arithmetic mean for the width and length. And multiply these values. This approach will help to significantly improve the accuracy of the calculation.
Even in the premises there are different ledges that occupy part of its area (a fireplace in the living room or a pipeline fencing in the bathroom). Their area must be calculated separately, and the result subtracted from the total. Or maybe vice versa - the presence of a niche in the wall or an adjacent room. In this case, their dimensions in square meters should be added to the corresponding value of the main part of the room.
As you can see, even with all the "aggravating", the floor of a rectangular shape does not require much effort and special knowledge. The procedure is still within one elementary formula.
But this only applies to buildings built according to standard projects. But the owners of apartments and houses with an original design layout will have a harder time. But, as they say, if you like to ride - love to carry sleds. Originality also has its price, and in our case it's not just about money.
Gender original form
The first thing to do when calculating the floor area of an irregular shape is to mentally or on paper divide it into simple figures. Then calculate the area of each of them separately and summarize the results.
In the course of this task, you will definitely notice that the figures themselves are simple, but their areas are not always. For each individual part, you will have to apply your own formula, depending on its geometry. We will now consider some of them.
triangles
It is easiest to deal with rectangular representatives of this family. Drawing it on paper, it is easy to see that it is half a rectangle. Accordingly, the calculation formula differs slightly: S=a*b/2. Where the letters a and b mean the length of the legs (sides touching at right angles).
If the triangle has no right angles, the following steps must be taken:
- take one of its sides as a basis;
- draw a height from the top to it;
- multiply one by the other;
- divide the result by 2.
As a result, the formula will look like this: S=a*h/2. Where a and h are the length of the base and the height, respectively.
For lovers of the exotic, there are other options. For example, Heron's formula, or calculation using the radius of a circle inscribed in a triangle. But it will still be easier to count through the base and height.
Circles and ovals
Such geometric shapes rare in construction, but still found. To calculate the area of a circle, it is enough to find its radius and substitute it into the equation: S=πr 2 . We have known it since school. And, according to the textbooks, r is the radius of the circle, and the value of pi is 3.14.
The area of an oval (ellipse) is calculated in a similar way. Only instead of the radius, it is necessary to find the length of its two semiaxes - long (a) and short (b). Further - according to the same scheme: S=π*a*b.
But more often you can encounter semi-circular or "semi-oval" rooms. such a room, add /2 to the formulas for a circle and an oval at the end. In Latin it will look like this: S=πr 2/2 and S=π*a*b/2.
Tiered floor
Occurs even less often. And you can calculate its area in the same way as in the example with adjacent premises - add up the indicators of each fragment. But, if you need to paint such a floor, then do not forget to consider vertical planes. Otherwise, there may not be enough paint on them.
In the end, I would like to note that the main thing in any calculations is accuracy. Therefore, be careful when taking measurements and carefully check the results of calculations. This will greatly simplify further, more complex steps during the repair.
Let's say that you want to start doing repairs in your own apartment. To do this, you need to determine the number the right materials and the amount of money that will be spent on them. So, the budget for repairs is directly related to the quadrature, i.e. with the floor area measured in square meters. Today we will figure out how to calculate the area of \u200b\u200byour (or any other) room or even an entire apartment. Consider some aspects and nuances.
How to calculate the square of a room
Now let's take a closer look at how the area is calculated. It is worth considering that the shape of the room is not only rectangular. There are other cases, in each of them the calculation is done differently. Let's look at various examples.
What do you need to calculate
In order to quickly calculate the required area, you will need:
- Roulette (with or without lock);
- Paper where you will write everything down, a pencil and a pen;
- Calculator for calculations, but you can do it in your mind and in a column on paper.
All this set is available in almost any home. It is better to take measurements with someone. It will be more convenient, but you can also do it yourself.
The first step is to take the measurement of the walls. This is done along them. You can also measure in the middle if they are filled with furniture.
3 by 3 how many square meters
To calculate a room 3 by 3 square meters, there is a fairly simple formula, you just need to multiply the measured length by the width. That is, we take 3 and multiply it by 3 and it turns out that a room 3 by 3 meters is 9 m².
3 by 4
Here it is calculated in the same way as in the previous formula. We take and multiply two values \u200b\u200bof 3 * 4 and get 12 square meters.
3 by 6 how much will it be m²
And there is nothing new here. Again we take two values - 3 and 6, and then multiply them. The result is 18 m².
Rectangular room
If the shape of the room is correct, which is very convenient, and there are no protruding parts, you can easily measure the area of \u200b\u200bthe room.
Take a tape measure and use it to measure the length and width of the room. Write down the values obtained on a piece of paper, so as not to forget. Record the value in meters. Then these figures should be multiplied, and you get the area of \u200b\u200bthe room in square meters. By the way, it is desirable to leave two digits after the decimal point, so if anything, you need to round.
Wrong room shape
Sometimes in apartments, and most often in private houses, there are rooms that differ from a rectangular shape.
To measure the square of a room that is not rectangular or square shape, you will have to divide it into various shapes such as rectangles, triangles, and so on.
- If you need to calculate the area of a room in the form of a circle, you should use the formula S \u003d D2 / 4, where D is the diameter of the room.
- The area of a triangular section is calculated according to the Heron formula S \u003d √ (P / 2 (P / 2 -A) x (P / 2 - B) x (P / 2 - C)), where the letters A, B, C mean its sides , and P is the perimeter, respectively.
- To calculate the area of the terrace if you have private house, you need to sum the area of \u200b\u200bthe rectangle and the semicircle.
- In the case when a segment should be calculated, the formula R2 / 2 (/ 180 - sin) is used. This is a rather complicated calculation. The letter "a" refers to the angle of the segment, which is expressed in degrees.
How to calculate the square of a wall
The calculation of the area of the walls is necessary when you are purchasing materials - wallpaper, plaster, and so on. In this case, in order to calculate the square of the wall, additional measurements will be needed, for example, how high is the ceiling.
Wall, excluding windows, doors
Calculate the square of the walls easy, since the simplest formula is used - the length of the wall is multiplied by the height. Let's say the height is 2.7 meters, and the width is 7 meters, then S = 7 * 2.7 = 18.9 m2. This is the area of the walls.
How to calculate the square of the floor
In this case, it all depends on what the geometry of the room is. If the room is of the correct shape, then in order to find out the floor area, you should measure the length or width of the rectangle, square. Square meters are calculated using the formula S = H*B. Where "H" means the length of the room, and "B" the width. If the room is square, just square the length of the side.
Floor without stove, fireplace
To do this, these elements should be excluded from the total area, that is, before calculating the total area, you need to know the square meters of a particular object:
- We consider what square you have.
- Then you should calculate the quadrature of the area where the stove or fireplace is located.
- Now from the total area you need to subtract the one that touches the stove or fireplace.
Room volume
In some cases, you need to calculate the volume of the room. This is not difficult, you just need to multiply three values: width, length, height. This value is measured in cubic meters also called cubature. That is, the same formula as with the calculation of the area of the room, only the third value is added, and that's it.
Conclusion
Now you have received the answer to the question of how the area of \u200b\u200bany room is calculated. Even if it is complex, then it's okay, you need to break it into simple shapes. You can also use the online calculator needed to calculate the square footage of the room. It can be of great help in some cases. By the way, always keep 5-10% of materials in stock, as there may be errors in the calculation.
The same online calculators may also not work correctly. The best way calculate everything - do it yourself.
Starting any, you need to know how to calculate the area of \u200b\u200bthe room. This knowledge will help you choose correct amount materials, as well as correctly calculate the dimensions. Such knowledge is also necessary when you need to check the area indicated in the documents.
Our review will help you remember school knowledge and tell you how to put it into practice. In addition, you can use a special calculator.
Important information! When performing calculations for a room with ledges, columns and niches, it is necessary to take into account their location and configuration.
How to calculate the area of a triangle
Let's figure out how to calculate the area of a triangle. If in an irregularly shaped room there is an element in the form right angle, then the following formula can be applied:
S=(a*b)/2;
There are other options for calculations. To calculate the area of a triangle, you can first determine the quadrature of the rectangle, and then calculate the area of the triangular corner. Then the value of the triangular part is subtracted from the quadrature of the rectangle.
If there is no right angle, then you can use Heron's formula:
S=√p(p-a)(p-b)(p-c);
Wherein a, b, c represent the sides of a triangle, and R- semiperimeter. To find out, all sides should be summed up, and then divided by 2.
To calculate the area of a given figure, you can multiply the length of the base by the height drawn from this base, and then divide the result by 2.
How to find the area of a rectangle
Often there are rooms that look like a rectangle. To calculate the area of a rectangle, the online calculator is considered the most the best option. But simple calculations can be made independently. There should be no protruding parts. Measure the width and length. Entries must be made in meters.
To calculate the area of a rectangle, you need to multiply the obtained values. After the decimal point, you can leave only two digits, and round the rest.
The question often arises of how to calculate the area of a rectangle if there are niches. In this case, the space is divided into several figures, and they are considered separately. There is another formula for calculating area. In this case, the perimeter of the room must be multiplied by the height. To calculate the perimeter, you need to add the length and width, and then multiply them by two.
How to calculate the area of a trapezoid
To calculate the area of a trapezoid, it is important to know the lengths of the two parallel sides, as well as the height. In this case, the height is the perpendicular between the sides.
Here is a formula you can use:
S=1/2(A+B)*h;
It should be borne in mind that nothing will change from the angles of the sides. But the height is recommended to measure in several places. This approach will make sure that the two sides are parallel.
Knowing such a formula is also useful when calculating the areas of premises of polygonal configurations. For example, an unusual space can be divided into a rectangle and a trapezoid.
There is also a special calculator for calculating rectangular and trapezoidal rooms. In this case, the difference is that the length of the rectangle will be the same. If necessary, you can make adjustments with the existing ledges and niches.
To determine the perimeter, you need to measure the lengths of the four sides, and then add them.
How to calculate the area of a circle
Sometimes it is required to calculate the area of a circle, as there may be separate sections round configurations. Such knowledge will also be useful when calculating arched door or window openings. Consider shapes based on a circle. Most often there are segments, quarters of a circle or semicircles.
Such calculations are necessary if there is a bay window or a combination of a balcony with a room. In this case, the value of the protruding circle is first determined, and then the resulting indicator is added to the rest of the area.
The following formula is used to calculate the area of a circle:
S=πR²/2,
π equals 3.14. BUT R² is the radius of the circle squared.
Correct calculation of the sector and segment area
A special formula for the area of a sector of a circle is included in the calculator for calculations. Such a formula looks like this:
S= R²*arcsin(c/2R)-0.25*C*√(4 R²-C²);
How to calculate the area of a room: a method for calculating the floor
You can calculate the floor area. This procedure consists of the following steps. First of all, you need to free the walls of the room. It is better to take measurements in an empty room. If the room is rectangular, then you can multiply the two sides. In reality, the sides may differ slightly, which is why it is important to measure all sides. In some cases the room may not be correct configuration. In such a situation, the entire space is divided into separate rectangles. In this case, you can draw a diagram with all sizes. Then the area of individual plots is calculated. By the way, the room will not necessarily consist only of rectangles. It can contain triangles and even circles.
If you do not know how to calculate the square meters of a room, then you can use a special calculator. When calculating the dimensions, it is not necessary to observe all dimensions up to a centimeter. Rounding is often used. Sometimes it is required to take into account different recesses and ledges in the walls.
When calculating, it is important to take into account their purpose. If you need to know the values \u200b\u200bfor installation, then you can ignore the space occupied by heavy furniture.
There are options when different floor levels are used in the room. In a similar situation, it is also required to divide the room into separate zones. Do not take measurements along the wall, as it may have a curved surface.
It is difficult to determine the area by the floor, which has a variety of protrusions in the form of waves or semicircles.
Note! If the room has L-shape, then in addition to two rectangular figures, it also contains a triangle. To determine its area, you can multiply one leg by another.
How to calculate wall area
To determine the area of the walls, you need to know how to calculate the perimeter of the room. Determination of the area is often required for the purchase of all kinds of finishing materials. In addition to the length and width of the room, you will need to find out the height of the room, as well as the dimensions of the door and window openings.
When calculating, it should be borne in mind that the height of the ceilings, even in the same room, can vary, especially if. The values of all walls are calculated separately, and then window and door openings are subtracted from them.
Exact values can be identified using a calculator for calculating the area of \u200b\u200bthe walls of a room. Sometimes you need to determine the volume of the room. In such a situation, it is necessary to multiply three values: the length, width and height of the room. This indicator is measured in cubic meters.
If the room has a multi-level zoning, then you can carry out the following calculations:
- measure all sections of the walls. Measurements are recommended to be taken closer to the ceiling;
- calculate floor area indicators;
- on each vertical section, it is necessary to measure the length and height, and then multiply these values;
- add the indicators to the gender value.
Each room has optimal parameters which can be taken into account when planning a construction site. The minimum living space is 8 sq. m. Room general purpose, such as a hall or living room can have an area of 14 to 25 square meters. m. The minimum height of the room is 240 cm. If the ceiling is more than three meters, then such a space is more difficult to heat. The kitchen must have an area of at least 6 square meters. m.
The correct calculation of the area of \u200b\u200bthe room is a guarantee of high-quality conduct. This approach will minimize the cost of purchasing materials.
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