SOLUTION: In a regular polygon, each central angle measures 30 degrees. If each side of the regular polygon measures 5.7 in. find the perimeter of the polygon.

Algebra ->  Polygons -> SOLUTION: In a regular polygon, each central angle measures 30 degrees. If each side of the regular polygon measures 5.7 in. find the perimeter of the polygon.      Log On


   

Question 475146: In a regular polygon, each central angle measures 30 degrees. If each side of the regular polygon measures 5.7 in. find the perimeter of the polygon.
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
360/30 = 12 sides
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Area+=+ns%5E2%2Acot%28180%2Fn%29%2F4 n = # of sides, s = length of sides
Area+=+12%2A5.7%5E2%2Acot%2815%29%2F4
Area = 3*5.7^2*cot(15)
Area =~ 363.76 sq inches