# SAT Math Multiple Choice Question 884: Answer and Explanation

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**Question: 884**

**14.**

The area of a sector of a circle is given by the formula above, where *S* is the angle measure in degrees of the sector and *r* is the radius of the circle. Which of the following gives *r* in terms of *A* and *S*?

- A.
- B.
- C.
- D.

**Correct Answer:** D

**Explanation:**

**D**

**Difficulty:** Medium

**Category:** Passport to Advanced Math / Exponents

**Strategic Advice:** Don't let all the variables in a question like this intimidate you. Pretend they're simple numbers and use inverse operations to solve for the desired variable.

**Getting to the Answer:** To solve the equation for *r*, start by multiplying both sides of the equation by the only number that's in the denominator on the right-hand side (360). Then, divide by everything that *r* is being multiplied by (*S*π):

Don't answer too quickly! The correct answer is not B. You're asked for *r* (not *r*^{2}), so take the square root of both sides of the equation to find that, which is (D).