SOLUTION: A regular octagon is inscribed in a circle of radius 15.8. Find the perimeter of the octagon.

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Question 29601: A regular octagon is inscribed in a circle of radius 15.8. Find the perimeter of the octagon.
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
In a regular polygon, the length of one side, s, is given by2Rsin%28180%2Fn%29 where:
s = the length of one side.
R = The distance from the centre to one vertex. This is the same as the radius of the circumscribed circle, or 15.8
n = The number of sides in the regular polygon. For this problem, we have an octagon, so n = 8.
s+=+2%2815.8%29sin%28180%2F8%29
s+=+31.6sin%2822.5%29
s+=+31.6%280.38%29
s+=+12.1
The perimeter, P, of the regular octagon is n*s
P+=+8%2812.1%29
P+=+96.8