4

Set 4: Circles (Intermediate)

Explanation

Answer: A

PROBLEM

Recent studies show that 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.

1.3333333333333333pi

✓ Correct
B.

4pi

C.

2.333333333333333pi

D.

8pi

Detailed Explanation

[Variation 1] Choice A is the best answer. Arc length = (60/360) times 2 times pi times 4 = 1.3333333333333333pi

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