9

Set 2: Circles (Intermediate)

Explanation

Answer: D

PROBLEM

A circle has radius 5. What is the arc length of a 60-degree sector? (Express as a number times pi)

A circle has radius 5. What is the arc length of a 60-degree sector? (Express as a number times pi)

A.

10pi

B.

2.6666666666666665pi

C.

5pi

D.

1.6666666666666665pi

✓ Correct

Detailed Explanation

Choice D is the best answer. Arc length = (60/360) times 2 times pi times 5 = 1.6666666666666665pi

Why others are wrong:
A: 10pi is incorrect because it does not satisfy the equation.
B: 2.6666666666666665pi is incorrect because it does not satisfy the equation.
C: 5pi is incorrect because it does not satisfy the equation.