# Area Converter / Calculator

## What is Area?

Area is the quantity that expresses the extent of a region on the plane or on a curved surface. The area of a plane region or plane area refers to the area of a shape or planar lamina, while surface area refers to the area of an open surface or the boundary of a three-dimensional object. Area can be understood as the amount of material with a given thickness that would be necessary to fashion a model of the shape, or the amount of paint necessary to cover the surface with a single coat. It is the two-dimensional analogue of the length of a curve (a one-dimensional concept) or the volume of a solid (a three-dimensional concept) Our **Area converter** tool **converts areas** in or between metric and imperial systems.

## What does area converter do?

Area Converter is a free online **unit converter** to instantly converts areas in or between metric and imperial units, for instance, **square meter to square inch**, **square meter to square centimeter** and much more.

## Does it Important?

Area plays an important role in modern mathematics. In addition to its obvious importance in geometry and calculus, area is related to the definition of determinants in linear algebra, and is a basic property of surfaces in differential geometry. In analysis, the area of a subset of the plane is defined using Lebesgue measure, though not every subset is measurable. In general, area in higher mathematics is seen as a special case of volume for two-dimensional regions.

## Converter Formulas

There are several well-known formulas for the areas of simple shapes such as triangles, rectangles, and circles. Using these formulas, the area of any polygon can be found by dividing the polygon into triangles. For shapes with curved boundary, calculus is usually required to compute the area. Indeed, the problem of determining the area of plane figures was a major motivation for the historical development of calculus.

## Units

Every unit of length has a corresponding unit of area, namely the area of a square with the given side length. Thus areas can be measured in square metres (m^{2}), square centimeters (cm^{2}), square millimeters (mm^{2}), square kilometers (km^{2}), square feet (ft^{2}), square yards (yd^{2}), square miles (mi^{2}), and so forth. Algebraically, these units can be thought of as the squares of the corresponding length units. The SI unit of area is the square metre, which is considered an SI derived unit.

## Examples

Number | Unit | Equal |
---|---|---|

1 | square kilometer | 1,000,000 square meters |

1 | square meter | 10,000 square centimeters |

1 | square centimeter | 100 square millimeters |

Number | Unit | Equal |
---|---|---|

1 | square inch | 6.4516 square centimeters |

1 | square feet | 0.09290304 square meters |

1 | square yard | 0.83612736 square meters |

1 | square mile | 2.589988110336 square kilometers |