7

Set 2: Circles (Intermediate)

Explanation

Answer: D

PROBLEM

A circle has radius 2. What is the arc length of a 60-degree sector? (Express as a number times pi)

A circle has radius 2. What is the arc length of a 60-degree sector? (Express as a number times pi)

A.

1.6666666666666665pi

B.

4pi

C.

2pi

D.

0.6666666666666666pi

✓ Correct

Detailed Explanation

Choice D is the best answer. Arc length = (60/360) times 2 times pi times 2 = 0.6666666666666666pi

Why others are wrong:
A: 1.6666666666666665pi is incorrect because it does not satisfy the equation.
B: 4pi is incorrect because it does not satisfy the equation.
C: 2pi is incorrect because it does not satisfy the equation.