Item: Circle D has a radius of 16 inches and right central angle, ∠EDF. Find the exact length of.

8 pi inches

4 pi inches

16 pi inches

32 pi inches

Given:

Radius = 16 inches

right central angle = 90°

I am assuming that we are looking for the length of the arc EF.

First, compute for the circumference of the circle.

C = 2 r π

C = 2 (16) π

C = 32 π

Second, divide the circumference by 4.

360 / 90 = 4

32 π / 4 = 8 π

The length of arc EF is 8 pi inches.