SOLUTION: I am finding the area of a regular 24-gon with a side length of 10 inches. I just dont know how to set it up

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Question 880223: I am finding the area of a regular 24-gon with a side length of 10 inches. I just dont know how to set it up
Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
The area of a regular polygon given the length of one side is
Area = (S^2 * N) / (4 * tan(180/N)) where S is length of one side, N is number of sides
Area = (10^2 * 24) / (4 * tan(180 / 24))
Area = 4557.452467635 square inches
to see how the formula is derived, divide the 24-gon into 24 isosceles triangles and calculate the height of one, then calculate the area of one and multiply by 24.