Find Area of regular polygon with Perimeter and Apothem

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An explanation of apothems, how to identify them, and how to quickly find the area of a regular polygon by using the formula which utilizes the perimeter and apothem.

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Thank you! As always my geometry teacher did it in some sort of confusing way where she pulled out a bunch of numbers and didn't explain where they came

LifeofAedan
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if we know the Apothem and the number of sides "N" of the polygon, we don't need to know the perimeter. The Perimter and each side lenght can be calculated using on these two: apothem and N

pixelseeker