SOLUTION: What is the area of a regular 15-gon with a perimeter of 180 yds.

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Question 957698: What is the area of a regular 15-gon with a perimeter of 180 yds.

Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
I'll just tell you how to do it.

The area of the central (isosceles) triangle below is one-fifteenth of the area of
the regular 15-gon.  
The base of that triangle is one-fifteenth of the perimeter of the regular
15-gon.  That is, matrix%281%2C2%2C180%2C%22yds.%22%29%2F15 = 12 yds. 
The vertex angle of that isosceles triangle is one-fifteenth of 360°, or 24°.





Find the area of that triangle and multiply it by 15.
The green line is the height of that triangle.

Edwin