2013 AMC 8 第 20 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。
20.
一个 长方形内接于一个半圆，较长的一边在直径上。这个半圆的面积是多少？
A rectangle is inscribed in a semicircle with the longer side on the diameter. What is the area of the semicircle?
小提示：
半径从直径中点连到长方形的上方顶点
The radius goes from the midpoint of the diameter to a top corner of the rectangle.
大提示：
这条半径是一个 乘 直角三角形的斜边
That radius is the hypotenuse of a by right triangle.
视频讲解：
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文字解答：
由勾股定理，半圆半径为 。因此半圆面积为 所以正确答案是 C。
Using the Pythagorean theorem, we get that the radius of the semicircle is This means that the area of the semicircle is Thus, C is the correct answer.
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