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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

Verified Answer :

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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.

Answer:

The exact length of arc EF is 8 pi inches.

Step-by-step explanation:

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