AMC 8 2005 Problem 25

AMC8 2005 年第 25 题

圆★★★★☆

A square with side length 2.0 and a circle share the same center. The total area of the regions that are inside the circle and outside the square is equal to the total area of the regions that are outside the circle and inside the square. What is the radius of the circle?

一个边长为 2 的正方形和一个圆，两者中心重合。位于圆内且在正方形之外的区域的面积，等于位于圆外且在正方形之内的区域的面积。那么圆的半径是多少？

A. $\displaystyle \frac{2}{\sqrt{\pi}}$
B. $\displaystyle \frac{1+\sqrt{2}}{2}$
C. $\displaystyle \frac{3}{2}$
D. $\sqrt{3}$
E. $\sqrt{\pi}$

正确答案 · Correct Answer

A

解析 · Solution

解析整理中

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