SAT Math Multiple Choice Question 206: Answer and Explanation

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Question: 206


In the figure above, O is the center of the circle and the diameter is 10. If the area of the shaded region is π, what is the length of minor arc XY ?

  • A.
  • B.
  • C.
  • D. 5π

Correct Answer: A


ASince the diameter is 10, the radius must be 5. A = πr2, so A = 25π. The shaded region takes up or of the area, so minor arc XY must take up of the circumference. C = πd so C = 10π. Therefore, the length of minor arc XY is (10π), or , which is (A).

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