Question

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

Answer 1

The exact length of arc EF is 8 pi inches.

Explanation:

Answer 2

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.