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What is Area in Math? Area is the size of a two-dimensional surface. Calculation of the area of a square whose length and width are 1 metre would be: 1 metre x 1 metre = 1 m2 and therefore, another square with different sides can be calculated as: 3 metres x 2 metres = 6 m2. "8 square meters" is written as 8 m2 "8 square feet" is written as 8 ft2 Area (square miles, including water) Illinois 57,914 sq mi What is the unit of measure for surface area? Thus areas can be measured in square metres (m2), square centimetres (cm2), square millimetres (mm2), square kilometres (km2), square feet (ft2), square yards (yd2), square miles (mi2), and so forth. How do you find the area? Perimeter is 1-dimensional and is measured in linear units such as inches, feet or meters. Area is 2-dimensional: it has a length and a width. Area is measured in square units such as square inches, square feet or square meters. To find the area of a rectangle, multiply the length by the width. 1. How many square millimetres are there in a square centimetre? 1 cm = 10 mm, so 1 cm2 = 10 × 10 = 100 mm2. 2. How many square centimetres are there in a square metre? 1 m = 100 cm, so 1 m2 = 100 × 100 = 10,000 cm2. 3. How many square metres are there in a square centimetre? 1 cm = 0·01 m, so 1 cm2 = 0·01 × 0·01 = 0·0001 cm2. |
Areas of plane shapesFor many shapes there are ways to calculate the area - for example the area of a circle. These are listed below with links to pages that explain each in more depth. See also
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| Square |  |
See Area of a square
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| Rectangle |  |
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| Triangle |  |
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| Triangle (SAS) |  |
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| Triangle Given 3 sides |
See Heron's formula | 
See Heron's formula
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| Equilateral triangle |  |
See Equilateral area
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| Parallelogram |  |
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| Trapezoid |  |
See Trapezoid area
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| Rhombus | 3 methods See Area of a rhombus |
See Rhombus area
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| Kite | 
where D1, D2 are the diagonals. |
See Area of a kite
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| Regular polygon | 4 methods See Area of a regular polygon |
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| Circle |  |
See Area of a circle
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| Ellipse |  |
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| Segment of a circle | See Area of a circle segment. |
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| Annulus |  |
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Length x Width, Illinois is 390 miles long and 210 miles wide.
| State | Area Ranking | Area (square miles, including water) | Area (square km, including water) |
|---|---|---|---|
| Alaska | 1 | 663,267 sq mi | 1,717,854 sq km |
| Texas | 2 | 268,580 sq mi | 695,621 sq km |
| California | 3 | 163,695 sq mi | 423,970 sq km |
| Montana | 4 | 147,042 sq mi | 380,838 sq km |
| New Mexico | 5 | 121,589 sq mi | 314,915 sq km |
| Arizona | 6 | 113,998 sq mi | 295,254 sq km |
| Nevada | 7 | 110,560 sq mi | 286,351 sq km |
| Colorado | 8 | 104,093 sq mi | 269,601 sq km |
| Oregon | 9 | 98,380 sq mi | 254,805 sq km |
| Wyoming | 10 | 97,813 sq mi | 253,336 sq km |
| State | Area Ranking | Area (square miles, including water) | Area (square km, including water) |
| Michigan | 11 | 96,716 sq mi | 250,494 sq km |
| Minnesota | 12 | 86,938 sq mi | 225,171 sq km |
| Utah | 13 | 84,898 sq mi | 219,887 sq km |
| Idaho | 14 | 83,570 sq mi | 216,446 sq km |
| Kansas | 15 | 82,276 sq mi | 213,096 sq km |
| Nebraska | 16 | 77,358 sq mi | 200,356 sq km |
| South Dakota | 17 | 77,121 sq mi | 199,742 sq km |
| Washington | 18 | 71,300 sq mi | 184,665 sq km |
| North Dakota | 19 | 70,700 sq mi | 183,112 sq km |
| Oklahoma | 20 | 69,899 sq mi | 181,035 sq km |
| State | Area Ranking | Area (square miles, including water) | Area (square km, including water) |
| Missouri | 21 | 69,704 sq mi | 180,533 sq km |
| Florida | 22 | 65,755 sq mi | 170,304 sq km |
| Wisconsin | 23 | 65,498 sq mi | 169,639 sq km |
| Georgia | 24 | 59,425 sq mi | 153,909 sq km |
| Illinois | 25 | 57,914 sq mi | 149,998 sq km |
| Iowa | 26 | 56,271 sq mi | 145,743 sq km |
| New York | 27 | 54,556 sq mi | 141,299 sq km |
| North Carolina | 28 | 53,818 sq mi | 139,389 sq km |
| Arkansas | 29 | 53,179 sq mi | 137,732 sq km |
| Alabama | 30 | 52,419 sq mi | 135,765 sq km |
| State | Area Ranking | Area (square miles, including water) | Area (square km, including water) |
| Louisiana | 31 | 51,840 sq mi | 134,264 sq km |
| Mississippi | 32 | 48,431 sq mi | 125,434 sq km |
| Pennsylvania | 33 | 46,056 sq mi | 119,283 sq km |
| Ohio | 34 | 44,825 sq mi | 116,096 sq km |
| Virginia | 35 | 42,774 sq mi | 110,785 sq km |
| Tennessee | 36 | 42,144 sq mi | 109,151 sq km |
| Kentucky | 37 | 40,410 sq mi | 104,659 sq km |
| Indiana | 38 | 36,418 sq mi | 94,321 sq km |
| Maine | 39 | 35,385 sq mi | 91,646 sq km |
| South Carolina | 40 | 32,020 sq mi | 82,932 sq km |
| State | Area Ranking | Area (square miles, including water) | Area (square km, including water) |
| West Virginia | 41 | 24,230 sq mi | 62,755 sq km |
| Maryland | 42 | 12,407 sq mi | 32,133 sq km Plus District of Columbia 68.25 sq mi 176.75 sq km |
| Hawaii | 43 | 10,931 sq mi | 28,311 sq km |
| Massachusetts | 44 | 10,555 sq mi | 27,336 sq km |
| Vermont | 45 | 9,615 sq mi | 24,901 sq km |
| New Hampshire | 46 | 9,350 sq mi | 24,216 sq km |
| New Jersey | 47 | 8,722 sq mi | 22,588 sq km |
| Connecticut | 48 | 5,544 sq mi | 14,357 sq km |
| Delaware | 49 | 2,489 sq mi | 6,447 sq km |
| Rhode Island | 50 | 1,545 sq mi | 4,002 sq km |
Total area: 3,794,083 square miles (including water) -- (9,826,630 sq km)
Areas on the coordinate planeIf you know the x,y coordinates of the vertices of a shape, there are ways to calculate the area from those coordinates. See Polygons on the coordinate plane. |