AMC 8 2025 Problem 18

AMC8 2025 年第 18

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The circle shown below on the left has a radius of 1 unit. The region between the circle and the inscribed square is shaded. In the circle shown on the right, one quarter of the region between the circle and the inscribed square is shaded. The shaded regions in the two circles have the same area. What is the radius RR, in units, of the circle on the right?
左下图的圆的半径为1个单位,阴影部分为圆和其内接正方形之间的区域。在右下图的圆中,阴影部分为圆和其内接正方形之间区域的四分之一。两个圆中的阴影区域面积相同。请问右下图的圆的半径R是多少个单位?
1
  1. A.2\sqrt2
  2. B.2
  3. C.222\sqrt2
  4. D.4
  5. E.424\sqrt2

正确答案 · Correct Answer

B

解析 · Solution

解析整理中

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