SAT Math Multiple Choice Practice Question 283: Answer and Explanation

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Question: 283

19.

P is the center of the circle above and . If ΔPQR has an area of, what is the area of the shaded region?

A.
B.
C.
D.
E.

Correct Answer: E

Explanation:

E Since all radii of a triangle are equal, . Since too, the triangle must be equilateral. Since its area is the lengths have the measures shown in the diagram. The circle has a radius of 6. The shaded region is equal to the area of the sector minus the area of the triangle. Since the central angle is 60°, the sector has an area that is of the whole circle, or Subtracting the area of the triangle gives ..

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