Question

Find the area and perimeter of a 30-gon with a radius of 1

Answer 1

Here :D

Explanation:

look at one of the 30 central triangles.

Each will be isosceles with a vertex angle of 12°

base^2 = 1^2 + 1^2 - 2(1)(1)cos12°

= 2 - 2cos12°

so the perimeter is 30(2 - 2cos12°)

= 60 - 60cos12°

use your calculator if you need a decimal answer.