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One method is by only knowing the length of each side and the number of sides.

This applies to all regular polygons.

In the case of your pentagon the number of sides are of course are 5.

The general formula for this method is as follows:

A = 1/4 x n x l^2 x cot 180/n

where

A = area

1/4 = constant (=0.25)

l^2 = length of side squared (length must be known)

cot = cotangent

180/n = 180 degrees divided by number of sides (for pentagon it is 36 degrees)

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13y ago
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13y ago

Add up all the sides to find your answer.

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Q: How do you work out the area of a regular pentagon?
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