SSAT Math Question 128: Answer and Explanation
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Question: 128
4. From a piece of tin in the shape of a square 6 inches on a side, the largest possible circle is cut out. Of the following, the ratio of the area of the circle to the area of the original square is closest in value to
- A.
- B.
- C.
- D.
Correct Answer: D
Explanation:
The correct answer is (D). To find the ratio of the area of the circle to the area of the square, first find the area of each. Note that the diameter of the circle equals the width of the square.
Area of the square = 6" × 6" = 36 sq. in.
Area of circle = π32 = 9π = 9 o 
= 
= 28 sq. in., approximately.
Ratio of the area of the circle to the area of the square: 
= 