SAT Math Multiple Choice Practice Question 551: Answer and Explanation
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Question: 551
8. 
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
Explanation:
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 
.