SSAT Math Question 133: Answer and Explanation
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Question: 133
9. If the number of square inches in the area of a circle is equal to the number of inches in its circumference, the diameter of the circle is
- A. 4 inches.
- B. 2 inches.
- C. 1 inch.
- D. π inches.
Correct Answer: A
Explanation:
The correct answer is (A). The area of a circle is equal to πr2. The circumference of a circle is equal to πd. If the number of inches in each are equal, then πd = πr2, or the diameter equals the square of the radius. The only value for which the diameter can equal the square of the radius is a diameter of 4 inches.