Question

Help with sectors of circles

Answer 1

Explanation:

The perimeter is the arc length plus the two radius lines.

Arc length is:

s = (θ/360) 2πr

So the perimeter is:

P = (θ/360) 2πr + 2r

Given that θ=135 and r = 11:

P = (135/360) 2π(11) + 2(11)

P = 8.25π + 22

P ≈ 47.9

So the perimeter is greater than 47.5 cm.