One side 4

One side of a regular octagon is 12 inches. Find the apothem and its area.

Correct answer:

x =  14.4853 in
A =  695.2935 in2

Step-by-step explanation:

a=12 in n=8  Θ=2 n360=2 8360=245=22.5   tan  Θ = a/2 : x  x=2a/tanΘ=2a/tan22.5° =212/tan22.5° =212/0.414214=14.485=14.4853 in
A1=21 a x=21 12 14.485386.9117 in2  A=n A1=8 86.9117=695.2935 in2



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