SOLUTION: a regular 20 sided polygon has an apothem of 50 in. find the perimeter of the polygon

Question 1063116: a regular 20 sided polygon has an apothem of 50 in. find the perimeter of the polygon

Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
The central angle for the 1/20th piece of the polygon is 18 degrees, so the triangle formed by the apothem and half the side has a tangent of 9 degrees (half of the triangle)=half of the side/50, the opposite over the adjacent
50 tan 9=half of the side 7.919.
The whole side is double that, and the perimeter is 20 x that.
If I round at the end, I get 316.77 in.
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