The radius of a circle is 15 miles. What is the angle measure of an arc bounding a sector with area 5 square miles?

Question

asked Oct 18, 2018 218k views

2 Answers

Wsorenson · Answer 1 · 2018-10-25T11:35:12+0000

x / 10pi = 360 /((pi)(r^2))
To isolate x, multiply both sides by 10pi
x = 360 /((pi)(r^2)) (10pi) = 3600/r^2 = 3600 / 20^2 = 9 degrees