SOLUTION: What is the area of a 15-gon with a perimeter of 90ft?

Algebra ->  Polygons -> SOLUTION: What is the area of a 15-gon with a perimeter of 90ft?       Log On


   

Question 298509: What is the area of a 15-gon with a perimeter of 90ft?
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
What is the area of a 15-gon with a perimeter of 90ft?
----------
s = 90/15 = 6 (length of each side)
The area of any regular polygon with n sides of length s is:
Area+=+ns%5E2%2Acot%28180%2Fn%29%2F4
A+=+15%2A36%2Acot%2812%29%2F4
A = 135/tan(12) =~ 635.125 sq ft