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03-06-2017
Mathematics

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Find the area of the regular 20-gon with radius 77 mm.

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wolf1728 wolf1728

03-06-2017

The area of a polygon equals
area = circumradius² * number of sides * sin (360 / # of sides) / 2
area = 77² * 20 * sin (360 / 20) / 2
area = 77² * 20 * sin (18) / 2
area = 118,580 * 0.30902 / 2
area = 36,643.59 / 2
area = 18,321.8 square millimeters

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