1

Set 1: Circles (Intermediate)

Explanation

Answer: B

PROBLEM

A circle has radius 4. What is the arc length of a 60-degree sector? (Express as a number times pi)

A circle has radius 4. What is the arc length of a 60-degree sector? (Express as a number times pi)

A.

4pi

B.

1.3333333333333333pi

✓ Correct
C.

8pi

D.

2.333333333333333pi

Detailed Explanation

Choice B is the best answer. Arc length = (60/360) times 2 times pi times 4 = 1.3333333333333333pi

Why others are wrong:
A: 4pi is incorrect because it does not satisfy the equation.
C: 8pi is incorrect because it does not satisfy the equation.
D: 2.333333333333333pi is incorrect because it does not satisfy the equation.