SAT Math Multiple Choice Practice Question 551: Answer and Explanation

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Question: 551


Note: Figure not drawn to scale.

In the circle above with center O, OQ = QR. If the radius of the circle is 8, what is the area of ΔOPQ ?

A. 4
B. 4
C. 8
D. 8
E. 16

Correct Answer: D


D Because is a radius of the circle, OP = 8. Because is a radius of the circle, OR = OQ + QR, and OQ = QR, therefore OQ = 4. Using the Pythagorean theorem—or recognizing the ratio of sides in a 30°-60°-90° triangle—will give you the value of PQ: 4. Because area = bh, the area is .

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