Set 4: Circles (Intermediate)

[Variation 1] **Choice B is the best answer.** Arc length = (120/360) times 2 times pi times 4 = 2.6666666666666665pi

Explanation

Answer: B

PROBLEM

Recent studies show that a circle has radius 4. What is the arc length of a 120-degree sector? (Express as a number times pi)

A circle has radius 4. What is the arc length of a 120-degree sector? (Express as a number times pi)

3.6666666666666665pi

2.6666666666666665pi

✓ Correct

8pi

4pi

Detailed Explanation

[Variation 1] Choice B is the best answer. Arc length = (120/360) times 2 times pi times 4 = 2.6666666666666665pi

Why others are wrong:

A: 3.6666666666666665pi is incorrect because it does not satisfy the equation.

C: 8pi is incorrect because it does not satisfy the equation.

D: 4pi is incorrect because it does not satisfy the equation.