To someone, probably, such a “childish” question will seem ridiculous - “how to calculate the area of \u200b\u200bthe room.” But let's agree that, firstly, many of us graduated from school a very long time ago. Secondly, not all Everyday life are constantly faced with the need to carry out geometric calculations, and something could already be forgotten. And, thirdly, rooms and walls do not always and everywhere have a rectangular shape, the area of \u200b\u200bwhich is easy and simple to calculate. This means that sometimes you have to be smart and apply more complex calculation methods.
And why is it generally necessary to be able to determine the area of \u200b\u200bthe floor, walls, ceiling of a room?
- These data are necessary for planning repairs in the apartment - you can calculate the number of required building materials.
- If the work is done by hired craftsmen, they most often require payment per square meter. In order not to become a victim of fraud, to be able to control the conscientiousness of employees and not to pay too much, it is necessary to be able to correctly determine the amount of work performed.
- The ability to read building diagrams and determine the area may be needed when viewing residential options for sale or rent. By the way, the amount of payment for some utilities also depends on the size of the usable and total area.
- The correct selection of lighting fixtures directly depends on the area of \u200b\u200bthe room - there are special lighting standards in this regard.
- Knowing the area, it is easy to calculate the volume of the room. A this is the main parametr pr and selection of heating devices, climatic equipment, ventilation systems.
In a word, such a skill will never be superfluous. And if the reader came to this page, then he needed to learn or refresh the algorithms for calculating the area. Therefore, we begin to consider, according to the principle "from simple to complex."
Preparation for calculations
This stage, in fact, includes two main points. It is required to prepare a place for performing measuring work, the tools and accessories necessary for this, and in fact, to carry out measurements, transferring the results to a diagram or drawing.
- Ideally, it is best to take all measurements in a room completely free of furniture and other objects. This is usually the case during renovations. But if measurements are carried out for other purposes, then, of course, no one will undertake to take everything out of the room.
Measurements of the lengths of the sides of a room are usually taken along the walls. Therefore, it is necessary to try to free these areas, so that you can completely, from wall to wall, stretch the roulette tape.
- The easiest way to check the squareness of a room is to measure the diagonals. Therefore, you may need space in the center of the room. Or, it must be possible to move objects that may interfere with measurements.
Surely ironic remarks will follow - is it possible that the author, giving such advice, has never heard of modern electronic laser roulettes? Of course, these modern devices help not only to quickly and accurately measure linear and angular quantities - many of them have built-in functions for performing the necessary calculations.
Laser roulette is convenient, but few people have such a tool However, let's "fall to the ground" - so far not many have such a tool. Professionals, yes, it is difficult to do without it at the present time. However, in domestic conditions, most people still rely on traditional methods of measurement. By the way, for taking measurements with a laser tape measure, one way or another, you still have to create free space anyway - for the unhindered passage of the beam.
Basic set - a regular tape measure, notebook, pencil or marker - So, we proceed from the fact that we carry out measurements with an ordinary tape measure. In addition, in addition to a notepad for notes, you may need:
- a long ruler for beating straight lines (for example, a rule or a long building level may come up);
Rule - will help beat off straight lines - the largest possible (the more - the better) building square;
Building squares - regular and folding - an impromptu compass - it can be a piece of a strong cord tied to some sharp pin, which will play the role of a center;
- to measure the angle - you need either a special tool, or calculations using trigonometric functions. However, in those methods that will be proposed, the measurement of the angle will not become a mandatory procedure at all - we will manage with linear quantities.
- it may be necessary to carry out some kind of auxiliary marking on the floor. In order not to stain the floor with chalk or a marker, you can use thin masking tape.
Painter's tape in a bright color is a good help when performing auxiliary marking - It is better to take all measurements twice - so there will be less chance of making any unfortunate mistake due to inattention.
- The roulette tape during measurements should not sag, in the measured area it should be a straight segment, stretched.
- Attention to the scale! Do not confuse the metric system with the inch - foot system, as many measuring tools have both scales.
- It will be much easier to work if you sketch in advance rough plan spaces on paper. Not at all necessary draw it in this case super-neatly, on a scale, in compliance with the requirements of drawing standards.
Even such a "freehand" scheme will be a good helper. It will just be much more convenient to immediately transfer the measurement results to paper for further calculations.
When measuring distances, you will need to write them down in meters, rounded to the nearest centimeter, for example, 0.82 m or 5.38 m. Then all the results will immediately be obtained in the required square meters.
- Some calculation formulas are quite cumbersome, contain trigonometric functions or calculations square roots, that is, it will not be possible to calculate “in a column”. It's great if you have the ability to carry out calculations in Excel - everything is clear, plus the whole process can be saved in a file. If not, then the calculator comes into play. It is convenient to use what is built into Windows - just do not forget to transfer it from "normal" to "engineering" through the "View" menu or by simultaneously pressing the "Alt + 2" keys.
Switching the calculator to the "engineering" mode Now we turn to the consideration of possible configuration options for the room.
Determine the floor area of the room
Rectangle
1. Probably the most common room configuration, especially in urban high-rise buildings. And, accordingly, the most straightforward way to calculate the area.
The sides of the rectangle can be denoted as A and B. Thus, the area will be equal to:
S= A × B
You can’t imagine it easier - the area of \u200b\u200bthe rectangle The opposite sides of the rectangle are equal to each other, in pairs, that is, in fact, only two values can be measured.
But at the same time, we must not forget about checking - is it a rectangle? You can attach a building square in each of the corners, but this does not always give a clear picture. It will be easier to make measurements of the diagonals and compare the results. If they coincide or the difference is very small, then we can assume that this is really a rectangle.
In the proposed example, the area of \u200b\u200bthe room is equal to:
S\u003d A × B \u003d 5.82 × 3.77 \u003d 21.94 m²
2. The room may have ledges, niches, passages and etc.. rectangular shape. It's okay - you can divide the total area into several rectangles on the diagram. It is clear that after calculating the areas for the plots, all values are summed up.
Let's complicate the task a little - a room with a niche The diagram shows an example of a large room with a protruding area. In the diagram, the red dotted line shows the division of the room into two rectangular sections. It remains only to find the area of \u200b\u200beach and sum it up:
Σ s = S1 + S2 = 8.26 × 3.73 + 2.63 × 1.50 = 30.81 + 3.95 = 34.75 m²
3. Sometimes it happens that the protrusion, on the contrary, is directed towards the room and therefore “eats up” part of the area.
Reverse example - the area of \u200b\u200bthe room is reduced due to the ledge Then, when calculating, you can go the other way - find the area of \u200b\u200bthis “stolen” space and subtract it from the area of \u200b\u200bthe large rectangle.
Trapeze
This situation often happens in corner rooms.
A characteristic feature, called a trapezoid, is that its two sides are parallel to each other, and the other two can be located at an arbitrary angle.
The area of a trapezoid - you need to know three parameters In this case, to determine the area, you need to know three parameters - the lengths of two parallel sides and the height of the trapezoid, that is, the distance along the perpendicular between them.
S = ½ (A + B) × h
This formula is universal - nothing changes from the angles of the sides, and we do not need to know their meaning. And here is the height h it is better to measure in several places - there will be confidence that the two sides are really parallel to each other.
Consider an example:
A typical trapezoidal room. We take measurements and apply the formula:
S = ½ (A + B) × h= 0.5 × (6.27 + 7.00) × 2.73 = 15.83 m²
Sometimes knowledge of the trapezoid area formula is also useful for complex, polygonal room shapes. For example, the drawing below shows a pentagonal room. It is most convenient to divide it into two sections - a rectangle and a trapezoid (separated by a conditional red line).
Rectangle area:
S 1 \u003d 6.33 × 3.95 \u003d 25 m²
One of the sides of the rectangle is also the base of the trapezoid. And the height of the trapezoid is the difference in length opposite sides premises:
h = 7.71 – 6.33 = 1.38 m
Finding the area of the trapezoid:
S 2 \u003d 0.5 × (3.95 + 2.55) × 1.38 \u003d 4.49
In total, the area of the entire room is equal to:
Σs = S1 + S2 = 25.0 + 5.71 = 29,49
Calculator for calculating the area of rectangular or trapezoidal rooms
The calculator below allows you to calculate the areas of both rectangular and trapezoidal rooms - the only difference is that rectangular rooms have lengths A1 And A2 will be the same.
If necessary, you can immediately make adjustments to existing niches or ledges.
If you decide to make or at home, first of all you need to choose 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. This article is devoted to how to calculate the area of a room of different shapes.
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 to 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.
- In addition, knowing the area is easier. After all, even the cost of the work of employees in most cases depends on how many square meters they have to process.
- The amount 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 quantities 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 they select.
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 are needed:
- Roulette. Of course, the electronic device is more convenient, but it has a large error. In addition, complex shapes cannot be measured with such a tape measure; 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 managed to find only a ruler with feet, it doesn’t matter, they can be easily translated into 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, the calculator is an excellent solution for calculating square meters.
Interesting! On the Internet, there are many online square meters calculators for calculating the area of \u200b\u200bthe 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?
The perfect room is 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 meter in the room will correspond to one centimeter on paper) . 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.
Let's say that you want to start doing repairs in your own apartment. To do this, you should decide on the amount of materials needed 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, 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 a 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 as it is used the simplest formula- 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 correct form, then to find out the area of \u200b\u200bthe floor, you should measure the length or width of a 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.
In order to determine the cost of services for wallpapering by a private master, you need to know the total area of \u200b\u200bthe walls and the perimeter of the room. There are services that are calculated by square meters, such as gluing or priming. And there are services for which you need to know the running meters, for example, installation of skirting boards or gluing curbs. It is not necessary to use the services of measurers, just remember the school curriculum in geometry. This information will also help in calculating the required amount of wallpaper, glue, and so on.
Wall area = room perimeter * ceiling height
First you need to measure the width and length of the room. We must say right away that the obtained measurements of the length and width of the room must be converted into meters. For example, if the length of the room is 325 centimeters, then we consider 3.25 meters.
Room length 4.75 meters
Room width 3.25 meters
Calculate the perimeter of the room, which is equal to the sum of all sides.
P \u003d (a + b) x2, where a and b are the width and length of the room. Therefore (4.75 + 3.25) x2 = 16 meters.
The perimeter of our room is 16 meters. P=16 meters.
Now you need to measure the height of the room. We measure the height of the wall - we got 2.71 meters.
h=2.71 meters.
To get the area of the walls, you need to multiply the perimeter of the room by the height of the walls.
S walls \u003d Pxh, where h is the height of the walls.
S walls \u003d 16x2.71 \u003d 43.36 meters.
The area of the walls of our room is 43.36 square meters. meters. S=43.36 m2.
From this figure, you need to subtract the area of \u200b\u200bwindows and doors - after all, there is no need to glue wallpaper there. We have one window in the room, the area of \u200b\u200bwhich is 1.95 m 2 (1.3m x 1.5m). Door area 1.17 m 2 (0.61m x 1.92m). The sum of the areas of windows and doors that are not involved in wallpapering is 3.12 m 2.
The net area of the walls is 43.36 - 3.12 \u003d 40.24 m 2.
In cases where the room is of a non-standard size and does not look like a rectangle, you will have to calculate the area of \u200b\u200beach wall separately and then sum them up.
Table of wall areas for wallpaper and painting
Below is a table that will help you quickly determine the area of \u200b\u200bwalls for wallpapering (or painting). To calculate the indicators, the typical area of windows and doors was used. Wall area indicators vary according to the height of the ceiling of the room:
| Room area, m 2 | Room ceiling height 2.50 m | Room ceiling height 2.70 m | Room ceiling height 3.0 m |
| 10 | 29 | 31 | 33 |
| 11 | 30,5 | 32,5 | 34,5 |
| 12 | 32 | 34 | 36 |
| 13 | 33,5 | 35,5 | 37,5 |
| 14 | 35 | 37 | 39 |
| 15 | 36,5 | 38,5 | 40,5 |
| 16 | 38 | 40 | 42 |
| 17 | 39,5 | 41,5 | 43,5 |
| 18 | 41 | 43 | 45 |
| 19 | 42,5 | 44,5 | 46,5 |
| 20 | 44 | 46 | 48 |
| 21 | 45,5 | 47,5 | 49,5 |
| 22 | 47 | 49 | 51 |
| 23 | 48,5 | 50,5 | 52,5 |
When carrying out repairs, the question arises:how much is a square meteryou need materials to cover it.
In order not to spend extra money, it is better to start by makingcalculation of square metersrooms and only then go to the store with specific requirements.
On packages with paints, plaster, primer, it is necessarily indicated for what size of the room this amount of the mixture is calculated.
The main question is how many packages or cans are needed to cover the wall or floor area.
What is a square meter
First you need to decide what a square meter is. People who did not learn mathematics well at school still face the problem of counting the amount of building materials sooner or later. That's whysquare meter - the main reference point in determining the area of \u200b\u200bthe room.
If we draw a square (this geometric figure with the same sides), and the side will be equal to 100 cm, then when multiplied by 100 we get the number 10000 cm. This means that the size of this figure is 10000 cm2. It can be easier. Calculate in meters: 100 cm is 1 m. We apply the formula for calculating the area - we multiply the two sides, that is, we multiply 1 by 1, we get 1 m. So, the size of the square is 1 sq.m.
Square Meter Counting Tools
For calculations, you need to prepare a calculator.
If it is not there, then the multiplication table on a regular notebook for a first grader.
If the walls are not 2, not 3 meters, but, for example, 2.5 meters, then a calculator is still better. This is too much work for a brain that is not used to working with numbers.
It is advisable to have a piece of paper and a pen handy for writing.
You need to measure with a tape measure or centimeter.
Roulette prices
Formula for calculating square meters
To calculate the area, you need to applysquare meter formulaA X B, where the number A is the length of one side, and the number B is the length of the second side. They can be the same if the shape of the floor or wall is square.
Most often, it is not square, but rectangular, that is, the number A will have one value, and the number B will have another. They will need to be multiplied in the mind, or according to the multiplication table, or on a calculator. And the resulting number will be the area that will need to be covered with paint or something else.
It happens that the shape of the floor is not standard, but, for example, trapezoidal. Then it is more difficult, especially for those people who do not know what a triangle is (this also exists in nature). To calculate the size of a trapezoid, you must first calculate the area of the rectangle in the middle, then the size of each triangle on the sides , then add these three numbers. Isn't it easier to call a team of workers right away? let them thinkhow to calculate the square meters of a room.
Important!If at this stage there is a misunderstanding, then it is better to immediately call the teacher of mathematics and ask to calculate,how many sq. meters has a room.
Laser roulette prices
Floor or ceiling area
The ceiling and floor in an ordinary apartment are the same.How to calculate square meters?Very simple. If the room is attic, then there is no ceiling - there is only a floor and walls.
Stage number 1. Measure the length of the room and write down the resulting number on paper. If the number is an integer, then just write the number. For example, 5 (m). If the number is greater than 5 but less than 6, then you have to remember decimals and write, for example, 5.5 (m).
Stage number 2. Measure the width of the room and record in the same way. For example - 3m.
Stage number 3. Now you need to multiply these two numbers. Example: 5 x 3 = 15m. So, the floor area is 15 square meters. m. Therefore, the size of the ceiling will also be 15 square meters. m. Write this number separately and circle it with a pen.
solid wall area
How to calculate quadraturesolid wall? Just like we measured the floor or ceiling. The algorithm of actions is the same as when calculating the size of the floor:
- measure the length of the wall and record;
- measure height;
- multiply two numbers - the result will bearea in square meters.
Example: height 2.20 m, length 7 m. 7 x 2.2 \u003d 15.4 m. Wall area - 15.4 square meters. m.
How to calculate the square meters of a wall with a window
It will be more difficult to deal with the wall on which the window is located.
Action algorithm:
- According to the scenario already passed, calculate the size of the wall. Let there be an already known number - 15.4 m2.
- Next, measure the height and length of the window. Multiply numbers. For example: length 1.5 m, height 1.2 m. If you multiply, you get 1.8. So, the area of the window is 1.8 square meters. m.
- We take the area of \u200b\u200bthe wall and subtract the size of the window from it: 15.4 - 1.8 \u003d 13.6. The area that will need to be put in order is 13.6 square meters. m.
Important!The numbers that are obtained during the calculations must be written down and circled with a pen so as not to get lost in your own calculations.
How to calculate the square meters of a wall with a door
Similar actions should be taken when requiredcalculate square meterswalls with a door. If the door is mathematically a simple rectangle, then we calculate its area using the usual formula A X B. That is, we need to measure the height and length, then multiply the numbers and get the size of the door.
Next, subtract the size of the door from the wall area and get the quadrature for which it will be necessary to buy finishing materials. If the previous owner of the apartment made a door with an arch, then here you can’t do without calculating the size of the circle.
Measuring the area of complex shapes
Circle and triangle - complex figures for self-calculation. How to measure square meters of a circle if there is no mathematical or engineering education? Again, formula.
How to measure the size of a circle
There is a formula for calculating the area of a circle. There is such a constant number - the ratio of the circumference of a circle to its diameter. It is the same for all circle sizes. It is called pi and equals 3.14. This is the number that is used in the calculations.
Stage number 1. We measure the diameter (this is the line that runs through the center of the circle from one edge of the circle to the other). Let the diameter be 3 m. Next, we find the radius - this is half the length of the diameter. That is, 1.5 m. We write down the radius on paper.
Stage number 2. We make calculations according to the formula S \u003d PR2, where S is the area of \u200b\u200bthe circle, P is a constant number, and R is the radius of the circle. It turns out 3.14 x (1.5 x 1.5) \u003d 7.065. The area of \u200b\u200bthis circle is 7.065 square meters. m.
But this is the area of a whole circle. The arch above the door is half a circle. So, you still need to divide this number by two and then add to rectangular square doors. 7.065: 2 = 3.53 m2.
How to measure the area of a triangle
If the previous owner of the apartment was a mathematician, then he could well have made triangular figures on the ceiling, which have to be restored and highlighted with a different color or plaster. You have to consider not to overpay.
Calculation of a square meterin a triangular figure begins with a careful examination of this figure.
It is necessary to find the base of the triangle, that is, the line on which the other two rest (like a roof on a house). Next, draw a line from the opposite top to the base. Write down these two numbers.
Stage number 1. Divide the base of the triangle by 2 and write it down. This number will come in handy in the near future. Measure the height and write it down too.
Stage number 2. Produce calculation m2 figures. To do this, use the formula: S \u003d 0.5ah, where S is the area of \u200b\u200bthe triangle, a is the base, and h is the height. Example: base 3 m, height 2.5 m. Total: 0.5 x 3 x 2.5 = 3.75. The size of the triangle is 3.75 m2. Write it down so you don't forget.
Advice!When calculating, it is better to invite another person to help. One head is good, but two is more reliable.
The point is small - go to the store and buy materials. Here you still have to consider, since not all packages are designed for large rooms. For example, the size of the ceiling in the kitchen3 x 3. How many square metersplaster will be needed if one package can cover 3 square meters. m? We consider: the size of the ceiling is 9 square meters. m. One package goes to 3 square meters. m. Therefore, 3 packs are needed for the entire ceiling.
If it is written on the package that the cost of12 square meters, that means how muchmaterial is needed to cover a wall measuring 3 x 4 m.
Or another example. wall in the apartment6 by 4. How many square metersneeds to be painted? Multiply 6 by 4, we get24 square meters. How much is thisyou need cans of paint of 3 liters, if each can is spent on 6 square meters. m? We consider: 24 divided by 6. It turns out 4. So, you need to buy 4 three-liter cans of paint to cover the entire wall.
For repair work, it is always better to take a little more materials so that you do not have to go to the store again.In the future, if you have to tint or whiten something, the leftover materials can help out a lot.
