# 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 Δ*OPQ* ?

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 .