Digital PSAT Math Practice Question 271: Answer and Explanation

Question: 271

A circle has a radius of 4 inches. One sector of the circle has a central angle measure of 60 degrees. What is the area of this sector of the circle in square inches?

  • A.
  • B. 2π
  • C.
  • D.

Correct Answer: C

Explanation:

(C) First, calculate the area of the circle:

π r2 → π (4)2 = 16π

Since the sector has a measure of 60 degrees and a circle has a total of 360 interior degrees, calculate the fraction of the total circle's area that the sector is as follows:

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