AMC 8 2004 Problem 25

AMC8 2004 年第 25

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Two $4×4$ squares intersect at right angles, bisecting their intersecting sides, as shown. The circle's diameter is the segment between the two points of intersection. What is the area of the shaded region created by removing the circle from the squares?
如图所示,两个 4x4 正方形以直角相交,将其相交的边平分。圆的直径是两个交点之间的线段。从正方形中去除圆之后所得到的阴影部分的面积是多少?
  1. A.164π16-4\pi
  2. B.162π16-2\pi
  3. C.284π28-4\pi
  4. D.282π28-2\pi
  5. E.322π32-2\pi

正确答案 · Correct Answer

D

解析 · Solution

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