How to convert ares to square meters. How many square meters are there
Routing lesson
Thing:mathematics
Class: 2
Name of the educational and methodical kit (EMC): “ promising elementary School»
Lesson topic:"Permutation of factors"
Lesson type: discovery of new knowledge
The place of the lesson in the system of lessons 1
Project training session mathematics
Subject and teaching materials: mathematics grade 1, teaching materials "Perspective elementary school".
Topic of the lesson: Addition with the number 10.
Place of the lesson in the topic: 1 lesson
Type of lesson: discovery of new knowledge.
Purpose and expected result: Discover a new addition technique and use it in assignments different kind.
Lesson objectives (teacher activities):
1. Create problem situation to discover new knowledge.
2. Contribute to the discovery of students of a new method of addition.
3. Promote the conscious assimilation and application of new knowledge when adding to the number 10.
4. Organize self-assessment of the work of students in the lesson.
Equipment for the lesson: mathematics textbook grade 1 (A.L. Chekin), workbook"Mathematics in questions and assignments" No. 2 (O.A. Zakharova, E.P. Yudina), cards
What is weaving, ar, hectare, square kilometer? How many hectares, square meters and kilometers in one are (hundred) of land? How many square meters, kilometers and acres are in one hectare of land? How many acres, hectares and square meters in one square kilometer?
How many square meters in 1, 10, 100, 1000 acres: table
What is an acre of land? Weave of land is a unit of measurement of the size of the site, weaving is equal to one hundred square meters.
The following units are used to measure areas: 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.
You can also say that in one weave of 100 square meters. meters and it will be correct if we say in hectares that one weave is one hundredth of a hectare.
- Weaving is a unit of measurement for the size of a plot, which is often used in a summer cottage or agriculture. In science, it is customary to use an analogue of weaving - ar. Ar (weaving) - the area of a square with a side of 10 m.
- Based on the name of this measure, one can already guess that we are talking about hundreds of meters.
- Indeed, one weave is equal to 100 m 2.
- In other words, one weave will be equal to the area of a square with sides of 10 m.
- Accordingly, in ten acres there will be 1000 m 2.
- 100 acres contain 10,000 m 2, and 1000 acres contain 100,000 m 2.
- In other words, to calculate how many square meters are in a given number of acres, you need to multiply the acres by 100.
Area units
1 weave = 100 square meters = 0.01 hectare = 0.02471 acre
- 1 cm 2 \u003d 100 mm 2 \u003d 0.01 dm 2
- 1 dm 2 \u003d 100 cm 2 \u003d 10000 mm 2 \u003d 0.01 m 2
- 1 m 2 \u003d 100 dm 2 \u003d 10000 cm 2
- 1 ar (weave) \u003d 100 m 2
- 1 ha (hectare) \u003d 10000 m 2
How many acres in 1, 10, 100 square meters: table
Area units conversion table
| Area units | 1 sq. km. | 1 hectare | 1 acre | 1 weave | 1 sq.m. |
| 1 sq. km. | 1 | 100 | 247.1 | 10.000 | 1.000.000 |
| 1 hectare | 0.01 | 1 | 2.47 | 100 | 10.000 |
| 1 acre | 0.004 | 0.405 | 1 | 40.47 | 4046.9 |
| 1 weave | 0.0001 | 0.01 | 0.025 | 1 | 100 |
| 1 sq.m. | 0.000001 | 0.0001 | 0.00025 | 0.01 | 1 |
The system adopted in Russia for measuring land areas
- 1 weave = 10 meters x 10 meters = 100 sq.m
- 1 hectare \u003d 1 ha \u003d 100 meters x 100 meters \u003d 10,000 square meters \u003d 100 acres
- 1 square kilometer = 1 sq. km = 1000 meters x 1000 meters = 1 million sq. m = 100 hectares = 10,000 acres
Inverse units
- 1 sq. m = 0.01 acres = 0.0001 ha = 0.000001 sq. km
- 1 weave \u003d 0.01 ha \u003d 0.0001 sq. km
- To calculate how many acres are in square meters, you need to divide the given number of square meters by 100.
- Thus, in 1 m 2 there are 0.01 weave, in 10 m 2 - 0.1 weave, and in 100 m 2 - 1 weave.
What is a hectare of land?
Hectare- a unit of area in the metric system of measures used to measure land. Field areas are measured in hectares (ha). A hectare is the area of a square with a side of 100 m. So, 1 ha is equal to 100,100 square meters, that is, 1 ha = 10,000 m 2.
Abbreviated designation: Russian ha, international ha. The name "hectares" is formed by adding the prefix "hecto..." to the name of the area unit "ar"
1 ha \u003d 100 ar \u003d 100 m x 100 m \u003d 10,000 m 2
- A hectare is a unit for measuring the size of a plot, which is equal to the area of a square with sides of 100 m. A hectare, like a weave, is mainly used as measuring units only in agriculture and summer cottages.
- The designation of a hectare looks like "ha".
- One hectare is equal to 10,000 m 2 or 100 acres.
How many square meters in 1, 10, 100, 1000 hectares: table
- In order to calculate how many square meters in a given number of hectares, you need to multiply the number of hectares by 10,000.
- Thus, there are 10,000 m 2 in 1 ha, 100,000 m 2 in 10 ha, 1,000,000 m 2 in 100 ha, and 1,000,000 m 2 in 1000 ha.
Thus, one hectare corresponds to 10,000 m2. It can easily fit a football field (0.714 hectares) or more than 16 summer cottages (the area of each is 6 acres). Well, Red Square will be twice as large as one hectare, its area is 24,750 m 2.
1 square kilometer is 100 times larger than 1 hectare. Similarly, we determine: 1 ha - how many acres are in the composition. One weave covers an area of 100 square meters. Therefore, in comparison with a hectare, weaving is 100 times less than a hectare.
- 1 weave\u003d 10 x 10 meters \u003d 100 m 2 \u003d 0.01 ha
- 1 hectare (1 ha)\u003d 100 x 100 meters or 10,000 m 2 or 100 acres
- 1 square kilometer (1 km2)\u003d 1000 x 1000 meters or 1 million m 2 or 100 hectares or 10,000 acres
- 1 square meter (1 m 2)= 0.01 acres = 0.0001 ha
How many acres in 1, 10, 100, 1000 ha: table
| Units | 1 km 2 | 1 ha | 1 acre | 1 weave | 1 m 2 |
| 1 km 2 | 1 | 100 | 247.1 | 10000 | 1000000 |
| 1 ha | 0.01 | 1 | 2.47 | 100 | 10000 |
| 1 acre | 0.004 | 0.405 | 1 | 40.47 | 4046.9 |
| 1 weave | 0.0001 | 0.01 | 0.025 | 1 | 100 |
| 1 m 2 | 0.000001 | 0.000001 | 0.00025 | 0.01 | 1 |
- To calculate how many acres corresponds to a given number of hectares, you need to multiply the number of hectares by 100.
- So, in 1 hectare there are 100 acres, in 10 hectares - 1000 acres, in 100 hectares - 10,000 acres, and in 1000 hectares - 100,000 acres.
How many hectares in 1, 10, 100, 1000, 10,000 acres, square meters: table
| ha | ar | m 2 | cm 2 | |
| 1 km 2 | 100 ha | 10 000 are | 1,000,000 m2 | 1,000,000,000 cm2 |
| 1 ha | 1 ha | 100 are | 10 000 m2 | 100,000,000 cm2 |
| 1 are | 0.01 ha | 1ar | 100 m2 | 1,000,000 cm2 |
| 1 m 2 | 0.0001 ha | 0.01 are | 1 m 2 | 10,000 cm2 |
- To calculate how many hectares are contained in a given number of acres, you need to divide the number of acres by 100.
- And in order to carry out such calculations with square meters, it is necessary to divide their number by 10,000.
- So, in 1 acres there are 0.01 ha, in 10 acres - 0.1 ha, in 100 acres - 1 ha, in 1000 acres - 10 hectares, in 10,000 acres - 100 hectares.
- In turn, in 1 m 2 there are 0.0001 ha, in 10 m 2 - 0.001 ha, in 100 m 2 - 0.01 ha, in 1000 m 2 - 0.1 ha, and in 10000 m 2 - 1 ha.
How many square kilometers are in 1 hectare?
1 ha \u003d 10,000 m 2
1 km 2 \u003d 100 ha
- A square kilometer is a unit of measure for the area of land. equal to the area a square with sides of 1000 meters.
- There are 100 hectares in one square kilometer.
- Thus, to calculate the number of square kilometers in a hectare, it is necessary to divide its given number by 100.
- So, in 1 ha there are 0.01 km 2
What is 1 are equal to?
Ar a unit of area in the metric system of measures, equal to the area of a square with a side of 10 m
- 1 ar \u003d 10 m x 10 m \u003d 100 m 2 .
- 1 tithe = 1.09254 ha.
- Arom is a unit of measure for the size of a plot, equal to the area of a square with sides of 10 m.
- In other words, ar is equal to a hundredth.
- In 1 are there are 100 m 2, 1 weave, 0.01 ha, 0.0001 km 2.
How many ares are in one hectare?
- There are 100 ares in one hectare, just like acres.
What is 1 acre equal to?
Acre land measure used in a number of countries using the English system of measures (Great Britain, USA, Canada, Australia, etc.).
1 acre \u003d 4840 sq. yards \u003d 4046.86 m 2
Old Russian units of area measurement
- 1 sq. verst = 250,000 sq. fathoms = 1.1381 km²
- 1 tithe = 2400 sq. fathoms = 10,925.4 m² = 1.0925 ha
- 1 quarter = 1/2 tithe = 1200 sq. fathoms = 5462.7 m² = 0.54627 ha
- 1 octopus \u003d 1/8 tithe \u003d 300 square sazhens \u003d 1365.675 m² ≈ 0.137 ha.
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In addition, the prescription for the mandatory use of units SI set out in the current interstate standard in Russia GOST 8.417-2002, which lists the units physical quantities permitted for use, their international and Russian designations are given and the rules for their use are established.
International system of units SI - most used system of units in the world Everyday life as well as in science and technology. Currently SI adopted as the main system of units by most countries of the world and is almost always used in the field of technology, even in those countries in which traditional units are used in everyday life.
SI defines 7 basic units of physical quantities and derived units (abbreviated units SI or units), as well as a set of prefixes.
SI also establishes standard abbreviations for units and rules for writing derived units.
Basic SI units
- kilogram (kg, kg) - unit of mass
- meter (m, m) - unit of length
- second (s, s) - unit of time
- ampere (A, A) - unit of electric current strength
- mole (mol, mol) - unit of the amount of a substance
- candela (cd, cd) - unit of luminous intensity
- kelvin (K, K) is 1/273.16 of the thermodynamic temperature of the triple point of water:
- degree Celsius (°C) is a common unit of temperature used in the SI along with the kelvin
Conversion to degrees Celsius:
As part of SI the base units are considered to have independent dimensionality, that is, none of them can be derived from the others.
Derived units are obtained from base units using algebraic operations such as multiplication and division. Some of the derived units in SI assigned their own names, for example, the unit radian.
CI prefixes must be used before unit names. They mean that the unit must be multiplied or divided by a certain integer, which is a power of 10, the number of times.
Decimal prefixes serve to reduce the number of zeros in the numerical values of physical quantities.
For instance:
- the prefix "kilo" means multiplying the original unit meter per 1000 (kilometer = 1000 meters)
- the prefix "milli" means multiplying the original unit meter by 10 -3 (millimeter = 0.001 meters)
- the prefix "deci" means multiplication of the original unit meter by 10 -1 (decimeter = 0.1 meters)
Area units
Concerning area units that are derived from the basic unit of length meter, the list looks like this:
- length
- unit of measure - meter
- designation (Russian) - m
- designation (international) - m
- square
- unit of measurement - square meter
- designation (Russian) - m 2
- designation (international) - m 2
Explanation
Meter - the length of the path traveled by light in a vacuum in a time interval
1/299792458 seconds (XVII General Conference on Weights and Measures (CGPM), 1983, Resolution 1).
XXV CGPM, held in 2014, decided to continue work on the preparation of a new revision of the SI, including a redefinition of the meter, and tentatively scheduled to complete this work by 2018 in order to replace the existing SI with an updated version at XXVI CGPM in the same year.
A common system in Russia for measuring land areas (off-system in relation to SI)
- 1 weave \u003d 10 m x 10 m \u003d 10 m x 10 m \u003d 100 m 2
- 1 hectare \u003d 1 ha \u003d 100 m x 100 m \u003d 10,000 m 2 \u003d 100 acres
- 1 square kilometer = 1 km 2 = 1000 m x 1000 m = 1 million km 2 = 100 ha = 10,000 acres
Inverse units
- 1 m 2 \u003d 0.01 acres \u003d 0.0001 ha \u003d 0.000001 km 2
- 1 weave \u003d 0.01 ha \u003d 0.0001 km 2
Area units conversion table
| Area units | 1 sq. km. | 1 hectare | 1 acre | 1 weave | 1 sq.m. |
| 1 km 2 | 1 | 100 | 247.1 | 10.000 | 1.000.000 |
| 1 hectare | 0.01 | 1 | 2.47 | 100 | 10.000 |
| 1 acre | 0.004 | 0.405 | 1 | 40.47 | 4046.9 |
| 1 weave | 0.0001 | 0.01 | 0.025 | 1 | 100 |
| 1 m 2 | 0.000001 | 0.0001 | 0.00025 | 0.01 | 1 |
- Hectare
a unit of area in the metric system of measures used to measure land.
Abbreviated designation:
- Russian - ha
- international - ha
1 ha equal to area square with a side of 100 m
The name "hectare" is formed by adding the prefix "hecto ..." to the name of the area unit " ar»:
1 ha \u003d 100 ar \u003d 100 m x 100 m \u003d 10,000 m 2
- Ar - a unit of area in the metric system of measures, equal to the area of a square with a side of 10 m:
- 1 ar \u003d 10 m x 10 m \u003d 100 m 2
- 1 tithe = 1.09254 ha
- Acre
land measure used in a number of countries using the English system of measures (Great Britain, USA, Canada, Australia, etc.).
1 acre = 4840 square yards = 4046.86 m 2
The most commonly used land measure in practice is hectare - the abbreviation ha:
1 ha = 100 are = 10,000 m 2
In Russia, a hectare is the main unit for measuring land area, especially agricultural land.
On the territory of Russia, the unit "hectare" was put into practice after October revolution, instead of a tithe.
Old Russian units of area measurement
- 1 sq. verst = 250,000 sq. fathoms \u003d 1.1381 km 2
- 1 tithe = 2400 sq. fathoms \u003d 10,925.4 m 2 \u003d 1.0925 ha
- 1 quarter = 1/2 tithe = 1200 sq. fathoms = 5462.7 m² = 0.54627 ha
- 1 octopus \u003d 1/8 tithe \u003d 300 square sazhens \u003d 1365.675 m 2 ≈ 0.137 ha
The area of land plots for individual housing construction, private household plots is usually indicated in acres
One hundred- this is the area of \u200b\u200ba plot measuring 10 x 10 meters, which is 100 square meters, and therefore is called a weave.
Here are a few characteristic examples sizes that a land plot of 15 acres can have:
In the future, if you suddenly forget how to find the area of a rectangular plot of land, remember a very old joke. “Grandfather asks a fifth grader: “How to find Lenin Square?” And he replies: “You need to multiply the width of Lenin by the length of Lenin” :)))
It is useful to know this
- What can be built on plots for the implementation of a peasant (farm) economy (KFH) - read
- With the scales of topographic maps used in Russia, you can.
- You can learn about the new VRI Classifier - 2019
- From January 1, 2018, the exact boundaries of the site must be recorded in the cadastral passport, since it will simply be impossible to buy, sell, mortgage or donate land without an accurate description of the boundaries. This is regulated by amendments to the Land Code. A total revision of the borders at the initiative of the municipalities began on June 1, 2015.
- On March 1, 2015, a new the federal law“On Amendments to the Land Code of the Russian Federation and Certain Legislative Acts of the Russian Federation” (N 171-FZ of June 23, 2014), in accordance with which, in particular, the procedure for buying land plots from municipalities was simplified.You can get acquainted with the main provisions of the law.
- With regard to the registration of houses, baths, garages and other buildings on land plots owned by citizens, the situation will be improved by a new dacha amnesty
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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 survey) square yard square foot² sq. ft (US, survey) square inch circular inch township section acre acre (US, survey) ore square chain square rod² (US, survey) square perch square rod sq. thousandth circular mil homestead sabine arpan cuerda square castilian cubit varas conuqueras cuad electron cross-section tithe (official) household tithe round square verst square arshin square foot square sazhen square inch (Russian) square line Plank area
More about the area
General information
Area is the size geometric figure in two-dimensional space. It is used in mathematics, medicine, engineering, and other sciences, such as 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 geographical objects. Area is also used in population density calculations. 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 unity. In a rectangular coordinate system, this square is 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 is an imaginary number.
Ar
Ar or sotka, 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 is measured in hectares, especially land plots. One hectare is equal to 10,000 square meters. It has been used since French Revolution, and is applicable in the European Union and some other regions. As well as ar, in some countries the hectare is called differently.
Acre
In North America and Burma, area is measured in acres. Hectares are not used there. One acre is equal to 4046.86 square meters. Initially, an acre was defined as the area that a peasant with a team of two oxen could plow in one day.
barn
Bars are used in nuclear physics to measure the cross section of atoms. One barn equals 10⁻²⁸ square meters. 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 the uranium nucleus, which physicists jokingly called "huge as a barn." Barn in English "barn" (pronounced barn) and from a joke of 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 a square. famous area. This is convenient because the area of a square is easy to calculate. Some formulas for calculating the area of geometric shapes below are obtained in this way. Also, to calculate the area, especially a polygon, the figure is divided into triangles, the area of \u200b\u200beach triangle is calculated using the formula, and then added. The area of more complex figures is calculated using mathematical analysis.
Area formulas
- Square: square side.
- Rectangle: product of the parties.
- Triangle (side and height are known): the product of a 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 are the sides, and α is the angle between them.
- Equilateral triangle: side, squared, divided by 4 times Square root out of three.
- Parallelogram: the product of a side and the height measured from that side to the opposite side.
- Trapeze: the sum of two parallel sides multiplied by the height, divided by two. Height is measured between these two sides.
- A circle: the product of the square of the radius and π.
- Ellipse: product of semiaxes and π.
Surface area calculation
Find the surface area of simple volumetric figures, such as prisms, is possible by unfolding this figure on a plane. It is impossible to obtain a ball scan 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 about 12 times smaller than the surface area of the Sun. The surface area of the Moon is approximately 3.793 x 10⁷ square kilometers, which is about 13 times smaller than the surface area of the Earth.
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 are analog and digital. In addition to other features, digital planimeters can be scaled to make it easier to measure features on a map. The planimeter measures the distance traveled along the perimeter of the measured object, 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, engineering, and agriculture.
Area properties theorem
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 a line that marks the boundaries of this figure.
Geographic features with the largest area
Country: Russia, 17,098,242 square kilometers, including land and water. The second and third largest countries are Canada and China.
City: New York is a city with the most large area in 8683 square kilometers. The second largest city is Tokyo, covering 6,993 square kilometers. The third is Chicago, with an area of 5498 square kilometers.
City Square: The largest area, covering 1 square kilometer, is located in the capital of Indonesia, Jakarta. This is Medan Merdeka Square. Second largest area at 0.57 square kilometer- Praça douz Giraçois in 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 it is, then it is the largest lake in the world with an area of 371,000 square kilometers. The second largest lake 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 is Lake Victoria in Africa. 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 was a certain inconvenience. At one time, the National Assembly of France proposed and approved a new measurement system. It officially happened in 1975. In accordance with this system, length began to be measured in meters, weight began to be measured in kilograms, and the area of \u200b\u200bland - in ares, from French word are, which means area. A with new system measurements, new questions began to arise, such as: 1 are how many square meters?
If such units 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, it is necessary to determine what is ar.
1 ar is a square whose side is 10 meters. Accordingly, the area of one ara is equal to:
1 ar \u003d 10 x 10, that is, 100 square meters.
And now, let's remember the definition of a hundredth. After all, one weave 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 acres and in ares. Now to the question how many square meters in 1 are, you can answer that as much as in one hundred square meters. Well, as for specific figures, then in one are 100 square meters.
But sometimes they can ask a question in a different way: “ 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 ares does it contain? In such a square meter there will be 0.01 ara.
Expert comment
Igor Voropaev - leading lawyer of "Prosper-Consulting"
PropertyExperts Portal Consultant
For many people whose main activity is not related to calculations, over the years it has become increasingly difficult to determine how to make a metric conversion (for example, convert kilometers to centimeters). This is a well-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 purpose is to erase some of the information and make room for a new one. And when it comes to calculating land plots, sometimes you completely stop understanding 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 \u200b\u200bbetween units, which have become easier to measure than playing a prefix.
However, if there is no such device on hand, the forum and the page with the table can be of great help, as they were many years ago. Thus, expressing 1 ha in relation to any other unit will be very simple.
