# 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 Δ*PQR* 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 ..