AMC 8 2013 Problem 20
AMC8 2013 年第 20 题
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rectangle is inscribed in a semicircle with longer side on the diameter. What is the area of the semicircle?
一个 1ｘ2 的矩形内接在一个半圆内，矩形的长边和圆的直径重合。那么这个半圆的面积是多少？
- A.
- B.
- C.
- D.
- E.
正确答案 · Correct Answer
C
解析 · Solution
Solution 1
By the Pythagorean Theorem, the radius of the semicircle is 2 2 , so its area is 𝜋 ( 2 ) 2 2 = 𝜋 2 π( 2 ) 2 =π. Answer: 𝐶 C .
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