SSAT Math Question 184: Answer and Explanation
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Question: 184
3. Mr. Adams has a circular flower bed with a diameter of 4 feet. He wishes to increase the size of this bed so that it will have four times as much planting area. What must be the diameter of the new bed?
- A. 6 feet
- B. 8 feet
- C. 12 feet
- D. 16 feet
Correct Answer: B
Explanation:
The correct answer is (B). The area of the flower bed is 4π sq. ft. (A = πr2). The area of the new bed is to be four times as great, or 16π sq. ft. A bed with an area of 16π sq. ft. must have a diameter of 8', and a radius of 4', since A = πr2.