How many square meters are there? Units of area measurement – Knowledge Hypermarket
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 Vapor permeability and vapor transfer rate converter Sound level converter Microphone sensitivity converter Sound Pressure Level (SPL) Converter 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 (×) Electric charge converter 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 ar [a] = 100 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
Mass concentration in solution
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 farmer 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 this 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.
Once upon a time, different measures of measurement were used to measure areas in different countries, which caused certain inconveniences. At one time, the French National Assembly proposed and approved a new measurement system. Officially this happened in 1975. Under this system, length came to be measured in meters, weight came to be measured in kilograms, and land area came to be measured in ar, from the French word are, which means area. And with the new measurement system, new questions began to arise, such as: 1 ar how many square meters?
If units such as square meters are understandable and familiar to the vast majority of people, then ar, as a unit of measurement, is rarely found in everyday life. It is more common for us to measure land in acres or hectares.
For those who don't know, how many square meters are there?, you need to decide what ar is.
1 ar is a square whose side is 10 meters. Accordingly, the area of one macaw is equal to:
1 ar = 10 x 10, that is, 100 square meters.
Now, let's remember the definition of a hundred. After all, one hundred square meters is also a square, with a side of 10 meters and an area of 100 square meters. It turns out that the same size area will be equal to the same values, calculated in hundredths and in ares. Now to the question, how many square meters in 1 are, you can answer that it is the same as in one hundred square meters. Well, as for specific numbers, one arena has 100 square meters.
But sometimes they can ask the question differently: “ How many ares in a square meter? To answer this question, immediately imagine a square with a side of 1 meter. You will get a square with an area of 1 square meter. And how many ars can it accommodate? In such a square meter there will be 0.01 are.
Expert commentary
Igor Voropaev - leading lawyer at Prosper-Consulting
Consultant of the PropertyExperts portal
For many people whose main occupation is not calculus, it becomes increasingly difficult over the years to determine how to do a metric conversion (for example, converting kilometers to centimeters). This is a known outcome - the human brain begins to call this information extra-systemic and designate it as superfluous.
This is a very subtle art, subject only to our brain, and its goal is to erase some information and make room for new ones. And when it comes to calculating land plots, sometimes you completely cease to understand what is happening and getting the value becomes even more difficult. But in our age, there are many convenient calculators that are familiar with all the names (hecto, deco, lata: decimeter, millimeter) and can easily calculate any values between units, measuring which has become easier than playing a game.
However, if you don’t have such a device on hand, the forum and page with a table can be of great help, just like many years ago. Thus, expressing 1ha in relation to any other unit will be very simple.
>>Math: Area. Area units
Area units
To measure areas, the following units are used: square millimeter (mm 2), square centimeter(cm 2), square decimeter (dm 2), square meter (m 2) and square kilometer (km 2).
For example, a square meter is the area of a square with a side of 1 m, and a square millimeter is the area of a square with a side of 1 mm.
Field areas are measured in hectares (ha). A hectare is the area of a square with a side of 100 m. This means that 1 hectare is equal to 100 100 square meters, that is
1 ha = 10,000 m2.
The area of small plots of land is measured in ares (a). Ar (weave) - square square with side 10 m.
Means, 1 a = 100 m 2.
Because 1 dm = 10 cm, then 1 dm 2 contains 10-10 square centimeters, that is, 1 dm 2 = 100 cm 2.
We also establish that 1 m2 = 100 dm2. Because 1 m = 100 cm, then 1 m2 contains 100 100 square centimeters, that is 1 m 2 = 10000 cm 2.
The relationships between area units are shown on the flyleaf.
3 8 3 - 5 b 3; (5 2 - 4 2) 3 .
775. Calculate:
a) 4! - 4 2 ; b) 6! : 60; at 3! - 5; d) 5! + 5 3 .
776. Compose an expression according to the diagram and find its value (Fig. 76).
777. Solve the problem:
1) Three stories take 34 pages. The first takes 6 pages, and the second is 3 times less than the third. How many pages is the second story?
2) Three lakes have a total area of 32 hectares. The area of the first lake is 4 times larger than the area of the second, and the area of the third lake is 7 hectares. Find the area of the first lake.
778. Find the meaning of the expression:
1) 767 520: 4: 15: 123; 3) 286 208: 86: 16 505;
2) 312 (9520: 68: 7); 4) 101 376: 48: 24: 8.
779. The length of a rectangular piece of land is 43 m, and its width is 15 m less than its length. Find the perimeter and area of the plot.
780. The length of a rectangular field is 300 m and its width is 200 m. Find the area of the field and express it in ares and hectares.
781. Express:
a) in square meters: 6 hectares 56 a; 2 km 2 67 hectares; 22 km 2 65 ha 9 a; 6 km 2 12 a;
b) in square millimeters: 6 cm 2 15 mm 2; 3 dm 2 8 mm 2 .
782. The workers were allocated 6 hectares of land for garden plots. How many workers received plots if the area of each plot is 12 acres?
783. Thanks to the rationalization proposal, it was possible to save 1250 cm 2 of leather for every 50 pairs of boots. How much leather is saved in 25 working days if 1500 pairs of boots are produced every day?
784. One of the sides of the triangle has a length of 3 dm 6 cm, and the other is twice as long. The length of the third side is 4 dm 3 cm less than the sum of the lengths of the first two sides. Find the perimeter of the triangle.
785. The young worker completed the task in 8 hours, producing 18 parts per hour. How many hours will it take his mentor to complete the same task if he does 6 more details per hour than the young man? worker ?
786. An invoice received several years ago in a store has not been completely preserved (Fig. 77). Restore your account.
787. Productivity is the mass of plant harvest collected per unit area. Denoting the yield by the letter t, the area by the letter S, write down the formula for finding the mass M of the crop. Determine using this formula:
a) what grain yield will a farmer receive from a field of 25 hectares with a yield of 35 centners per hectare;
b) what is the yield of strawberries if 108 kg were harvested from a bed of 18 m2.
788. Find the meaning of the expression:
a) 182 + 52; b) (18 + 5)2; c) 18 + 52.
789. Follow these steps:
a) 980 081 + (341 640 - 1263 209);
b) 400 615 - (352 203 - 2031 138).
N.Ya. VILENKIN, V. I. ZHOKHOV, A. S. CHESNOKOV, S. I. SHVARTSBURD, Mathematics grade 5, Textbook for general education institutions
Help for schoolchildren online, Mathematics for 5th grade download, calendar and thematic planning
Different units of measurement can be used to determine the area of a land plot. Let's look at what an ar is and what its features are. Ar is one hundred square meters of land.
This designation comes from the French concept of “area, surface.” In Russia, the ar is sometimes called a sotka.
Features of size
This unit of measurement is non-systemic. It is used without limitation of the period of admission. In the International Organization of Legal Metrology, ar is classified as a unit of measurement that is introduced only when it is necessary to use it.
Ar was established as the official measure of area back in the French Republic. In accordance with the system adopted at that time, length began to be measured in meters, weight in kilograms, and land area in acre.
Derivatives of this quantity include:
- hectare;
- decar.
Unlike such a concept as a square meter, are is quite rare in everyday life. It is more common for us to measure land in hectares.
Let's look at what ar represents. Ar is a square, each side of which is 10 meters. Accordingly, the area of the macaw is 100 square meters.
Converting other quantities to are
Converting one quantity to another is not difficult. Let's consider what corresponds to one ara:
- 100,000,000 square millimeters;
- 1,000,000 square centimeters;
- 100 square meters;
- 155,000.31 square inches;
- 0.01 hectares;
- 0.1 decares;
- 0.247 acres;
- 1,076 square feet;
- 0.0001 square versts;
- 21.96 square fathoms;
- 0.0092 government tithes;
- 197.7 square arshins.
Ar or weaving is widely used in all CIS countries, Indonesia, as well as a number of European countries. It is advisable to use it to calculate the area of small urban objects, for example, parks. Ar is used when a hectare is too large a unit of measurement.
Now you know everything about such a unit of measurement as an acre and can easily apply your knowledge to convert other quantities in which area is expressed into it. From this section you will learn about other measures, quantities and much more related to this science.
Area measure (abbr. a; French are from Latin area - surface) - this is the name of the French unit in the metric system. and German surface measures. A. represents a square, each side of which = 10 m (= 1 decameter) and therefore corresponds to a space of 100 square meters. m (= 1 square decameter), or 947682 old Parisian square meters. feet, = 21,968 sq. soot A. contains 10 deciars, 100 centiars and 1000 miliars, and in the ascending series: 10 A. = 1 dekaar, 100 A. = 1 hectare, 1000 A. = 1 kilora, 10,000 A. = 1 miriaru. The expressions: miriar, kilar and decar, as well as deciar (1/10 A.) are not commonly used, they say: 10000 A., 1000 = A., 10 A., 1/10 A. In France, the word miriar is sometimes used for particularly large calculations used. Hectare (abbr. ha) is a unit for measuring area, field and forest and replaced the former arpan in France (see this next), in Germany - various akers (see this next), morgens (see this next .). A hectare corresponds to 10,000 square meters. meth = 0.915 des. An area of 100 hectares, or 10,000 A. (miriar) = 1 sq. kilometer (see Meter).
Encyclopedic Dictionary F.A. Brockhaus and I.A. Efron. - S.-Pb.: Brockhaus-Efron. 1890-1907 .
See what “Ar measure of area” is in other dictionaries:
measure of area- ploto matas statusas T sritis fizika atitikmenys: engl. measure of area; square measure vok. Flächenmaß, n rus. measure of area, f pranc. mesure d'aire, f... Fizikos terminų žodynas
This term has other meanings, see Paradise (meanings). Rai (Thai: ไร่) is a measure of area equal to 1600 m² (40 m × 40 m), used to measure land. Paradise is not included in either the metric system of measures or the SI system, its exact ... ... Wikipedia
This term has other meanings, see Lan. Lan measure of area in medieval Western Europe and, in particular, the Polish-Lithuanian state (XIV-XVIII century). It was the main measure of feudal duties. Both in Czech and... ... Wikipedia
Shakkanho (Japanese: 尺貫法) is a traditional Japanese system of measures of length, volume, area, weight and money, which is widespread throughout East Asia. Contents 1 Relationship with the metric system 2 Length 3 Area ... Wikipedia
Shakkanho (Japanese: 尺貫法) is a traditional Japanese system of measures of length, volume, area, weight and money, which is widespread throughout East Asia. Contents 1 Relationship with the metric system 2 Length 3 Area ... Wikipedia
This term has other meanings, see Tithe (meanings). By 1900, the average land plot per capita of the male population in all provinces of the European part of Russia was 2.6 dessiatines ... Wikipedia
Morgue (from German: joch) is an obsolete unit of land area in medieval Western Europe and in particular in the Polish-Lithuanian Commonwealth, equal to approximately 0.56 hectares. Originally, a morgue meant an area that 1 person could plow or... ... Wikipedia
This term has other meanings, see Voloka. Schematic representation of ownership. Legend: the bold stroke shows the boundaries of the portages (“walls”), the division of the portages into three parts is less bold, the house indicates the peasant’s yard... Wikipedia