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1 February, 10:19

What is the area of a regular 15-gon with a radius of 5mm

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  1. 1 February, 10:56
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    (assuming the radius is the inradius (or the apothem))

    To get the side length, we use this formula:

    side length = apothem * (2 * tan (180/15))

    side length = 5 * 2 * 0.21256

    side length = 2.1256

    Polygon Area = (# of sides * side length * apothem) / 2

    Polygon Area = (15 * 2.1256 * 5) / 2

    Polygon Area = 79.71
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