The simplest way to calculate area of a pentagon

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I have a pentagon, whose all sides and angles I know. What would be the simplest way, i.e requires least calculations, to calculate its area?

If possible, can I generalize your way to higher polygons?

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1 Answer

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The approach that will work, would be to tediously triangulate the polygon, find all the angles / sides, and then use the sine formula or Heron's formula.

If there are special properties, you might be able to exploit it slightly.

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