Question

What is the length of one of the SIDES of the polygon? Round to the nearest hundredth (0.01)

Answer 1

`a = 12.43`

Explanation:

Given

`A = 15` --- the Apothem

`n =8` ---- number of sides

Required

The length of each side (a)

The relationship between A and a is:

`a = A * 2\tan((180)/(n))`

This gives:

`a = 15 * 2\tan((180)/(8))`

`a = 15 * 2\tan(22.5)`

`a = 15 * 2 * 0.4142`

`a = 12.426`

`a = 12.43` --- approximated