2025 AMC 8 第 12 题
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所有题目均经美国数学协会（MAA）官方合法授权使用。
12.
下图区域由 个边长为 厘米的正方形组成。能放入该区域内部、可以接触边界的最大圆的面积是多少平方厘米？
The region shown below consists of squares, each with side length centimeter. What is the area, in square centimeters, of the largest circle that can fit inside the region, possibly touching the boundaries?
小提示：
最大圆的圆心在该区域中心
The largest circle is centered at the center of the region
大提示：
求中心到最近内凹角点的距离
Find the distance from the center to the nearest concave corners
视频讲解：
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文字解答：
离区域中心最近的边界角点，是图中位于这个圆上的 个点：
由勾股定理，每个点到中心的距离为 所以圆面积为 选 C。
The corners of the region which are closest to the center are the points which lie on this circle:
By the Pythagorean Theorem, each of these points has this distance from the center: The area of the circle is then which is choice C.
其他年份的第 12 题
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