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