33 lines
1.1 KiB
Markdown
33 lines
1.1 KiB
Markdown
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---
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title: Area of an Ellipse
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---
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## Area of an Ellipse
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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.
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#### Terminology
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* Foci or focus points - these points are equidistant from the center of the ellipse
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* Major axis - the line drawn cutting the ellipse in half and running through both foci
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* Minor axis - the line drawn cutting the ellipse in half and running between both foci
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<img src = "https://jwolfgang.info/wp-content/uploads/2017/10/area-of-ellipse2.png">
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##### Formula
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Area of ellipse = <span class="texhtml"><span class="texhtml">(π)</span>(1/2)(major axis)(1/2)(minor axis)</span>
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##### Example
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Given major axis = 2 in, minor axis = 7 in find area of the ellipse.<br><br>
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Area = 1/2 * 2 in * 1/2 * 7 in * π = 11 in<sup>2</sup>
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<!-- The article goes here, in GitHub-flavored Markdown. Feel free to add YouTube videos, images, and CodePen/JSBin embeds -->
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<br><br>
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#### More Information:
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* [Wikipedia](https://en.wikipedia.org/wiki/Ellipse)
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* [Math Is Fun](https://www.mathsisfun.com/geometry/ellipse.html)
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