SAT Math Multiple Choice Practice Question 308: Answer and Explanation

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Question: 308

22.

Point C is the center of the circle on the figure above. The shaded region has an area of 3s square centimeters. What is the perimeter of the shaded region in centimeters?

A.
B.
C.
D.
E.

Correct Answer: A

Explanation:

A Since 120° is 1/3 of 360°, the shaded region has the area of the circle. Therefore, the circle has an area of . Since , the radius is 3 centimeters. The circumference of the circle, then, is , and the arc of the shaded region has length . The perimeter of the shaded region, then, is .

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