Question

Find the area of a regular octagon with apothem K and side of 10.

Answer 1

\[A=\frac{ap}{2}\]
where \(a\) is the length of the apothem and \(p\) is the perimeter.

Answer 2

For a regular octagon the area is given by
8×Apothem2×tan(π/8)


Again,

Side=2× Apothem ×tan(π/8)


So use the second one to find the value of tan(π/8) and then substitute the value in the first which will give 40k as answer.