4

Set 2: Circles (Advanced)

Explanation

Answer: A

PROBLEM

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

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

A.

2.6666666666666665pi

✓ Correct
B.

8pi

C.

16pi

D.

5.333333333333333pi

Detailed Explanation

Choice A is the best answer. Sector area = (60/360) times pi times 4 squared = 2.6666666666666665pi

Why others are wrong:
B: 8pi is incorrect because it does not satisfy the equation.
C: 16pi is incorrect because it does not satisfy the equation.
D: 5.333333333333333pi is incorrect because it does not satisfy the equation.