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1 square millimeter [mm²] = 1E-06 square meter [m²]
Initial value
Converted value
square meter square kilometer square hectometer square decameter square decimeter square centimeter square millimeter square micrometer square nanometer hectare ar barn square mile sq. mile (US, surveyor) square yard square foot² sq. foot (USA, surveyor) square inch circular inch township section acre acre (USA, surveyor) ore square chain square rod rod² (USA, surveyor) square perch square rod sq. thousandth circular mil homestead sabin arpan cuerda square castilian cubit varas conuqueras cuad cross section of electron tithe (government) tithe economic round square verst square arshin square foot square fathom square inch (Russian) square line Planck area
More about the area
General information
Area is the size of a geometric figure in two-dimensional space. It is used in mathematics, medicine, engineering and other sciences, for example in calculating the cross-section of cells, atoms, or pipes such as blood vessels or water pipes. In geography, area is used to compare the sizes of cities, lakes, countries, and other geographic features. Population density calculations also use area. Population density is defined as the number of people per unit area.
Units
Square Meters
Area is measured in SI units in square meters. One square meter is the area of a square with a side of one meter.
Unit square
A unit square is a square with sides of one unit. The area of a unit square is also equal to one. In a rectangular coordinate system, this square is located at coordinates (0,0), (0,1), (1,0) and (1,1). On the complex plane the coordinates are 0, 1, i And i+1, where i- imaginary number.
Ar
Ar or weaving, as a measure of area, is used in the CIS countries, Indonesia and some other European countries, to measure small urban objects such as parks, when a hectare is too large. One are is equal to 100 square meters. In some countries this unit is called differently.
Hectare
Real estate, especially land, is measured in hectares. One hectare is equal to 10,000 square meters. It has been in use since the French Revolution, and is used in the European Union and some other regions. Just like the macaw, in some countries the hectare is called differently.
Acre
In North America and Burma, area is measured in acres. The hectares are not used there. One acre is equal to 4046.86 square meters. An acre was originally defined as the area that a peasant with a team of two oxen could plow in one day.
Barn
Barns are used in nuclear physics to measure the cross section of atoms. One barn is equal to 10⁻²⁸ square meters. The barn is not a unit in the SI system, but is accepted for use in this system. One barn is approximately equal to the cross-sectional area of a uranium nucleus, which physicists jokingly called “as huge as a barn.” Barn in English is “barn” (pronounced barn) and from a joke among physicists this word became the name of a unit of area. This unit originated during World War II, and was liked by scientists because its name could be used as a code in correspondence and telephone conversations within the Manhattan Project.
Area calculation
The area of the simplest geometric figures is found by comparing them with the square of a known area. This is convenient because the area of the square is easy to calculate. Some formulas for calculating the area of geometric figures given below were obtained in this way. Also, to calculate the area, especially of a polygon, the figure is divided into triangles, the area of each triangle is calculated using the formula, and then added. The area of more complex figures is calculated using mathematical analysis.
Formulas for calculating area
- Square: square side.
- Rectangle: product of the parties.
- Triangle (side and height known): the product of the side and the height (the distance from that side to the edge), divided in half. Formula: A = ½ah, Where A- square, a- side, and h- height.
- Triangle (two sides and the angle between them are known): the product of the sides and the sine of the angle between them, divided in half. Formula: A = ½ab sin(α), where A- square, a And b- sides, and α - the angle between them.
- Equilateral triangle: side squared divided by 4 and multiplied by the square root of three.
- Parallelogram: the product of a side and the height measured from that side to the opposite side.
- Trapezoid: the sum of two parallel sides multiplied by the height and divided by two. The height is measured between these two sides.
- Circle: the product of the square of the radius and π.
- Ellipse: product of semi-axes and π.
Surface Area Calculation
You can find the surface area of simple volumetric figures, such as prisms, by unfolding this figure on a plane. It is impossible to obtain a development of the ball in this way. The surface area of a sphere is found using the formula by multiplying the square of the radius by 4π. From this formula it follows that the area of a circle is four times less than the surface area of a ball with the same radius.
Surface areas of some astronomical objects: Sun - 6,088 x 10¹² square kilometers; Earth - 5.1 x 10⁸; Thus, the surface area of the Earth is approximately 12 times smaller than the surface area of the Sun. The Moon's surface area is approximately 3.793 x 10⁷ square kilometers, which is about 13 times smaller than the Earth's surface area.
Planimeter
The area can also be calculated using a special device - a planimeter. There are several types of this device, for example polar and linear. Also, planimeters can be analog and digital. In addition to other functions, digital planimeters can be scaled, making it easier to measure features on a map. The planimeter measures the distance traveled around the perimeter of the object being measured, as well as the direction. The distance traveled by the planimeter parallel to its axis is not measured. These devices are used in medicine, biology, technology, and agriculture.
Theorem on properties of areas
According to the isoperimetric theorem, of all figures with the same perimeter, the circle has the largest area. If, on the contrary, we compare figures with the same area, then the circle has the smallest perimeter. The perimeter is the sum of the lengths of the sides of a geometric figure, or the line that marks the boundaries of this figure.
Geographical features with the largest area
Country: Russia, 17,098,242 square kilometers, including land and water. The second and third largest countries by area are Canada and China.
City: New York is the city with the largest area of 8683 square kilometers. The second largest city by area is Tokyo, occupying 6993 square kilometers. The third is Chicago, with an area of 5,498 square kilometers.
City Square: The largest square, covering 1 square kilometer, is located in the capital of Indonesia, Jakarta. This is Medan Merdeka Square. The second largest area, at 0.57 square kilometers, is Praça doz Girascoes in the city of Palmas, Brazil. The third largest is Tiananmen Square in China, 0.44 square kilometers.
Lake: Geographers debate whether the Caspian Sea is a lake, but if so, it is the largest lake in the world with an area of 371,000 square kilometers. The second largest lake by area is Lake Superior in North America. It is one of the lakes of the Great Lakes system; its area is 82,414 square kilometers. The third largest lake in Africa is Lake Victoria. It covers an area of 69,485 square kilometers.
Length and distance converter Mass converter Converter of volume measures of bulk products and food products Area converter Converter of volume and units of measurement in culinary recipes Temperature converter Converter of pressure, mechanical stress, Young's modulus Converter of energy and work Converter of power Converter of force Converter of time Linear speed converter Flat angle Converter thermal efficiency and fuel efficiency Converter of numbers in various number systems Converter of units of measurement of quantity of information Currency rates Women's clothing and shoe sizes Men's clothing and shoe sizes Angular velocity and rotation frequency converter Acceleration converter Angular acceleration converter Density converter Specific volume converter Moment of inertia converter Moment of force converter Torque converter Specific heat of combustion converter (by mass) Energy density and specific heat of combustion converter (by volume) Temperature difference converter Coefficient of thermal expansion converter Thermal resistance converter Thermal conductivity converter Specific heat capacity converter Energy exposure and thermal radiation power converter Heat flux density converter Heat transfer coefficient converter Volume flow rate converter Mass flow rate converter Molar flow rate converter Mass flow density converter Molar concentration converter Mass concentration in solution converter Dynamic (absolute) viscosity converter Kinematic viscosity converter Surface tension converter Vapor permeability converter Water vapor flow density converter Sound level converter Microphone sensitivity converter Converter Sound Pressure Level (SPL) Sound Pressure Level Converter with Selectable Reference Pressure Luminance Converter Luminous Intensity Converter Illuminance Converter Computer Graphics Resolution Converter Frequency and Wavelength Converter Diopter Power and Focal Length Diopter Power and Lens Magnification (×) Converter electric charge Linear charge density converter Surface charge density converter Volume charge density converter Electric current converter Linear current density converter Surface current density converter Electric field strength converter Electrostatic potential and voltage converter Electrical resistance converter Electrical resistivity converter Electrical conductivity converter Electrical conductivity converter Electrical capacitance Inductance Converter American Wire Gauge Converter Levels in dBm (dBm or dBm), dBV (dBV), watts, etc. units Magnetomotive force converter Magnetic field strength converter Magnetic flux converter Magnetic induction converter Radiation. Ionizing radiation absorbed dose rate converter Radioactivity. Radioactive decay converter Radiation. Exposure dose converter Radiation. Absorbed dose converter Decimal prefix converter Data transfer Typography and image processing unit converter Timber volume unit converter Calculation of molar mass D. I. Mendeleev’s periodic table of chemical elements
1 square meter [m²] = 1000000 square millimeter [mm²]
Initial value
Converted value
square meter square kilometer square hectometer square decameter square decimeter square centimeter square millimeter square micrometer square nanometer hectare ar barn square mile sq. mile (US, surveyor) square yard square foot² sq. foot (USA, surveyor) square inch circular inch township section acre acre (USA, surveyor) ore square chain square rod rod² (USA, surveyor) square perch square rod sq. thousandth circular mil homestead sabin arpan cuerda square castilian cubit varas conuqueras cuad cross section of electron tithe (government) tithe economic round square verst square arshin square foot square fathom square inch (Russian) square line Planck area
Sound pressure level
More about the area
General information
Area is the size of a geometric figure in two-dimensional space. It is used in mathematics, medicine, engineering and other sciences, for example in calculating the cross-section of cells, atoms, or pipes such as blood vessels or water pipes. In geography, area is used to compare the sizes of cities, lakes, countries, and other geographic features. Population density calculations also use area. Population density is defined as the number of people per unit area.
Units
Square Meters
Area is measured in SI units in square meters. One square meter is the area of a square with a side of one meter.
Unit square
A unit square is a square with sides of one unit. The area of a unit square is also equal to one. In a rectangular coordinate system, this square is located at coordinates (0,0), (0,1), (1,0) and (1,1). On the complex plane the coordinates are 0, 1, i And i+1, where i- imaginary number.
Ar
Ar or weaving, as a measure of area, is used in the CIS countries, Indonesia and some other European countries, to measure small urban objects such as parks, when a hectare is too large. One are is equal to 100 square meters. In some countries this unit is called differently.
Hectare
Real estate, especially land, is measured in hectares. One hectare is equal to 10,000 square meters. It has been in use since the French Revolution, and is used in the European Union and some other regions. Just like the macaw, in some countries the hectare is called differently.
Acre
In North America and Burma, area is measured in acres. The hectares are not used there. One acre is equal to 4046.86 square meters. An acre was originally defined as the area that a peasant with a team of two oxen could plow in one day.
Barn
Barns are used in nuclear physics to measure the cross section of atoms. One barn is equal to 10⁻²⁸ square meters. The barn is not a unit in the SI system, but is accepted for use in this system. One barn is approximately equal to the cross-sectional area of a uranium nucleus, which physicists jokingly called “as huge as a barn.” Barn in English is “barn” (pronounced barn) and from a joke among physicists this word became the name of a unit of area. This unit originated during World War II, and was liked by scientists because its name could be used as a code in correspondence and telephone conversations within the Manhattan Project.
Area calculation
The area of the simplest geometric figures is found by comparing them with the square of a known area. This is convenient because the area of the square is easy to calculate. Some formulas for calculating the area of geometric figures given below were obtained in this way. Also, to calculate the area, especially of a polygon, the figure is divided into triangles, the area of each triangle is calculated using the formula, and then added. The area of more complex figures is calculated using mathematical analysis.
Formulas for calculating area
- Square: square side.
- Rectangle: product of the parties.
- Triangle (side and height known): the product of the side and the height (the distance from that side to the edge), divided in half. Formula: A = ½ah, Where A- square, a- side, and h- height.
- Triangle (two sides and the angle between them are known): the product of the sides and the sine of the angle between them, divided in half. Formula: A = ½ab sin(α), where A- square, a And b- sides, and α - the angle between them.
- Equilateral triangle: side squared divided by 4 and multiplied by the square root of three.
- Parallelogram: the product of a side and the height measured from that side to the opposite side.
- Trapezoid: the sum of two parallel sides multiplied by the height and divided by two. The height is measured between these two sides.
- Circle: the product of the square of the radius and π.
- Ellipse: product of semi-axes and π.
Surface Area Calculation
You can find the surface area of simple volumetric figures, such as prisms, by unfolding this figure on a plane. It is impossible to obtain a development of the ball in this way. The surface area of a sphere is found using the formula by multiplying the square of the radius by 4π. From this formula it follows that the area of a circle is four times less than the surface area of a ball with the same radius.
Surface areas of some astronomical objects: Sun - 6,088 x 10¹² square kilometers; Earth - 5.1 x 10⁸; Thus, the surface area of the Earth is approximately 12 times smaller than the surface area of the Sun. The Moon's surface area is approximately 3.793 x 10⁷ square kilometers, which is about 13 times smaller than the Earth's surface area.
Planimeter
The area can also be calculated using a special device - a planimeter. There are several types of this device, for example polar and linear. Also, planimeters can be analog and digital. In addition to other functions, digital planimeters can be scaled, making it easier to measure features on a map. The planimeter measures the distance traveled around the perimeter of the object being measured, as well as the direction. The distance traveled by the planimeter parallel to its axis is not measured. These devices are used in medicine, biology, technology, and agriculture.
Theorem on properties of areas
According to the isoperimetric theorem, of all figures with the same perimeter, the circle has the largest area. If, on the contrary, we compare figures with the same area, then the circle has the smallest perimeter. The perimeter is the sum of the lengths of the sides of a geometric figure, or the line that marks the boundaries of this figure.
Geographical features with the largest area
Country: Russia, 17,098,242 square kilometers, including land and water. The second and third largest countries by area are Canada and China.
City: New York is the city with the largest area of 8683 square kilometers. The second largest city by area is Tokyo, occupying 6993 square kilometers. The third is Chicago, with an area of 5,498 square kilometers.
City Square: The largest square, covering 1 square kilometer, is located in the capital of Indonesia, Jakarta. This is Medan Merdeka Square. The second largest area, at 0.57 square kilometers, is Praça doz Girascoes in the city of Palmas, Brazil. The third largest is Tiananmen Square in China, 0.44 square kilometers.
Lake: Geographers debate whether the Caspian Sea is a lake, but if so, it is the largest lake in the world with an area of 371,000 square kilometers. The second largest lake by area is Lake Superior in North America. It is one of the lakes of the Great Lakes system; its area is 82,414 square kilometers. The third largest lake in Africa is Lake Victoria. It covers an area of 69,485 square kilometers.
Choose a tape measure or tape measure. Choose a tape measure or measuring tape marked with centimeters (cm) or meters (m). This device will make it easier to calculate the area in square meters, since they were developed in the same measurement system.
- If you can find a tape measure in feet or inches, measure the area using the available units, and then move on to the step that describes how to convert other units to square meters.
Measure the length of the area you have chosen. A square meter is a unit of measurement for the area or size of a two-dimensional object such as a floor or field. Measure the length of one side from one corner to the other and write down the result.
- If the length is more than one meter, then count both meters and centimeters. For example, 2 meters 35 centimeters.
- If the object you are measuring is not a rectangle or square, then read the third section of this article - “Measuring the area of complex shapes.”
If you can't measure the length at once, do it in stages. Lay out the tape measure and make a mark where it ends (for example, 1 meter or 25 centimeters), then lay it out again and start from the marked area. Repeat until you have measured the entire length. Then add all the measurements together.
Measure the width. Use the same tape measure to measure the width of the object. You need to start measuring by placing the tape measure at an angle of 90º in relation to the length of the object that you have already measured. That is, two lines of a square adjacent to each other. Also write down the resulting numbers on paper.
- If the measured length is slightly less than one meter, then round to the nearest centimeter when you take measurements. For example, if the width is slightly larger than the 1 meter 8 centimeters mark, then simply write down “1 m 8 cm.” and don't count millimeters.
Convert centimeters to meters. Usually measurements cannot be made exactly in meters. You will get indicators in both meters and centimeters, for example “2 meters 35 centimeters”. 1 centimeter = 0.01 meters, and therefore you can convert centimeters to meters by moving the decimal point 2 digits to the left. Here are some examples.
- 35cm = 0.35m, so 2m 35cm = 2m + 0.35m = 2.35m
- 8cm = 0.08m, so 1m 8cm = 1.08m
Multiply the length by the width. Once you convert all measurements to meters, multiply the length by the width to get the area of the object being measured. Use a calculator if necessary. For example:
- 2.35m x 1.08m = 2.538 square meters (m2).
Round up. If you get a lot of numbers after the decimal point, for example, 2.538 square meters, then round, for example, to 2.54 square meters. It's likely that you didn't measure to the nearest millimeter, so the final numbers won't be accurate anyway. In most cases we round to the nearest centimeter (0.01m). If you need more accurate measurements, read this material.
- Whenever you multiply two numbers with the same unit of measurement (for example, meters), the answer must be written in the same unit of measurement (m 2, or square meters).
The correct answer is No, because a square meter and a linear meter are units of measurement of different categories. Square meters measure the surface area, and linear meters measure only the length of the product.
Below we will analyze the concepts of square and linear meters
Square meter (sq.m; m2) in the International System of Units (SI) is the area of a square whose side is 1 meter. Square meters measure the surface area of walls, floors, real estate objects, where the area, for example, of an office or apartment is equal to the floor area. Or if you need to calculate the amount of ceramic tiles for a wall or linoleum for a floor, you need to multiply the length by the height and get the surface area in square meters. Although linoleum itself is sold in linear meters, more on that below.
Designations in square meters (m2) are used in...
- Measuring buildings, houses, apartments, premises;
- Measurement of facing and flooring materials;
- Measuring the covering surfaces of roofs and floors;
- Measuring the area occupied by equipment and furniture
The concept of a linear meter
It is IMPOSSIBLE to convert square meters into linear meters and simply into meters!
Linear meter (roll material, product, fence, furniture)– this is the length independent of the width. Since the price of the material is included in the cost of 1 linear meter of carpet, linoleum or lining. A linear meter of linoleum 3 meters wide will naturally be more expensive than linoleum 2.5 meters wide.
Sometimes, in the manufacture of kitchen furniture, linear meters are also used for ease of calculation. For example, the manufacturer calculated that a kitchen cabinet 3 meters long and 60 centimeters wide with the required number of shelves, drawers, and doors would cost $1,200 at the National Bank exchange rate. And as you know, the kitchens in our apartments are different, mostly small, so the manufacturer sets the price for 1 linear meter at $400. The customer can only fit 2.5 meters. The standard equipment, placement of shelves, drawers are discussed and the price is $1000.
$400 x 2.5m = $1000
Designations in linear meters are used to measure:
- Flooring roll materials (roll of fabric, carpeting, linoleum...);
- Boards, linings, block houses, plinths, sometimes pipes, fittings;
- Cost is the price of furniture (kitchen) with standard equipment and fittings.
How to calculate linear meters into square meters and vice versa
Example 1
To convert square meters into linear meters, you need to know the length and width of the product (material) that is sold in linear meters.
We need to lay 12 m2 of linoleum in the kitchen, but in the store they sell it by linear meters, but with a width of 2.5 m, 3 m or 4 meters. It would be better to buy 4 linear meters of linoleum 3 meters wide or 3 linear meters 4 meters wide:
4m (length) x 3m (roll width) = 12 square meters
3m (length) x 4m (roll width) = 12 square meters
In this particular case, 12 square meters is equal to 3 or 4 linear meters, but this cannot be considered because the width must always be taken into account.
Example 2
Let's take the same example with kitchen furniture of 2.5 linear meters. We need to know the floor area that our kitchen furniture covers. To do this, we multiply the length of 2.5 m by the width of the kitchen wall 0.6 meters, and we get 1.5 square meters - this is the area occupied by our furniture in the kitchen.
Example 3
To finish the bath we need to buy 65 m2 of lining. It is sold in 3-meter lengths at a price per linear meter. We need to calculate how many linear meters are needed for 65 m2.
Our board (lining) has dimensions of 300 x 10 x 0.5 cm or 3m x 0.1m x 0.005m. We multiply the length by the width in meters and get the area of one board (0.3 m2):
3m x 0.1m = 0.3 m2
Now we will find out how many boards are needed for 65 m2. To do this, divide 65 m2 by the area of 1 board:
65: 0.3 = 216.67 or 217 boards (lining)
Our lining (board) is 3 meters long, which means we need to buy 651 linear meters.
217 x 3 = 651 m/p
The galvanized weight circuit is 1 m2. The theoretical, reference, standard, conditional, specific, calculated, tabular weight of galvanized metal sheet mm is 1 m2 of rolled steel in kg. mm² - square millimeter. Quantity converter.He often asked how many kilograms (kg) 1 m2 of galvanized sheet metal weighed. What is the weight of galvanized sheet metal? Stainless steel sheet metal sheet - 1 mass. Table 1 shows data on the weight of galvanized sheet steel 0.4, 0.45, 0.5, 0.55, 0.6, 0.7, 0.75, 0.8, 0.9, 1.0, 1.2, 1.5, 2.0, 2.5 mm. Table 1 discusses the possibilities for the mass of galvanized sheet metal according to GOST 52246-2004, GOST 14918-80, GOST 19904-90, GOST 19903-74, GOST 14918-80, GOST 14918. |
Notes to Table 1.