9

Set 1: Circles (Advanced)

Explanation

Answer: D

PROBLEM

A circle has radius 7. What is the arc length of a 90-degree sector? (Express as a number times pi)

A circle has radius 7. What is the arc length of a 90-degree sector? (Express as a number times pi)

A.

14pi

B.

4.5pi

C.

7pi

D.

3.5pi

✓ Correct

Detailed Explanation

Choice D is the best answer. Arc length = (90/360) times 2 times pi times 7 = 3.5pi

Why others are wrong:
A: 14pi is incorrect because it does not satisfy the equation.
B: 4.5pi is incorrect because it does not satisfy the equation.
C: 7pi is incorrect because it does not satisfy the equation.