Question

If a circle has a radius of 16,and an arc length of 12x, what is the angle measure of the central angle that matches that arc?

(Note, the picture below is not drawn to scale, don't hold a protractor up to your screen)

Answer 1

135°

Explanation:

Using S = rA, where S is arc length, r is radius and A is angle(in radians).

Comparing:

=> 12 = 16A

=> 12/16 = A

=> 3/4 = A

Required radian is 3/4 which is 3/4 * 180° = 135°