Question

How do you find the radian measure of the central angle of a circle of radius 6 inches that intercepts an arc of length 27 inches?

Answer 1

Arc of `27` inches will subtend a central angle of `4.5` radian.

Explanation:

The circumference of the circle is `2*pi*r = 2*pi*6=12pi` inches, which subtends central angle of `2pi` radian.

Therefore arc of `27` inches will subtend a central angle of `27/(12cancelpi)*2cancelpi = 27/6 =4.5` radian.[Ans]