AMC 8 2011 Problem 25

AMC8 2011 年第 25

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A circle with radius 1 is inscribed in a square and circumscribed about another square as shown. Which fraction is closest to the ratio of the circle's shaded area to the area between the two squares?
一个半径为 1 的圆内切于一个正方形中,并且外接于另一个正方形,如图所示。那么圆的阴影部分的面积和两个正方形之间的面积的比值最接近下面哪个分数?
  1. A.12\displaystyle \frac{1}2
  2. B.1
  3. C.32\displaystyle \frac{3}2
  4. D.2
  5. E.52\displaystyle \frac{5}2

正确答案 · Correct Answer

A

解析 · Solution

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