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Katena32 [7]
3 years ago
12

Find the area of the regular polygon below and round your answer to the nearest tenth.

Mathematics
1 answer:
stira [4]3 years ago
4 0
The 9-sided polygon will have a central angle between the vertex and the center of one side of 360°/(2*9) = 20°. Then the apothem is
  a = (6 in/2)*cot(20°) ≈ 8.242432 in
The perimeter is 9*6 in = 54 in, so the area is
  A = (1/2)Pa = (1/2)*(54 in)*(8.242432 in) ≈ 222.5 in²
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