AMC 8 1997 Problem 7
AMC8 1997 年第 7 题
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The area of the smallest square that will contain a circle of radius 4 is
能容纳一个半径为 4 的圆的最小正方形的面积是
- A.8
- B.16
- C.32
- D.64
- E.128
正确答案 · Correct Answer
D
解析 · Solution
Solution 1
Draw a square circumscribed around the circle. (Alternately, the circle is inscribed in the square.) If the circle has radius 4, it has diameter 8. Two of the diameters of the circle will run parallel to the sides of the square. Thus, the smallest square that contains it has side length 8, and area 8×8=64.
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