freeCodeCamp/guide/english/mathematics/area-of-a-ellipse/index.md

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Area of an Ellipse

Area of an Ellipse

An ellipse is a 2D shape defined by a continuous curve and two focus points. The sum of the two distances from the foci to any point on the curve is constant.

Terminology

  • Foci or focus points - these points are equidistant from the center of the ellipse
  • Major axis - the line drawn cutting the ellipse in half and running through both foci
  • Minor axis - the line drawn cutting the ellipse in half and running between both foci
Formula

Area of ellipse = (π)(1/2)(major axis)(1/2)(minor axis)

Example

Given major axis = 2 in, minor axis = 7 in find area of the ellipse.

Area = 1/2 * 2 in * 1/2 * 7 in * π = 11 in2



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