AMC 8 2010 Problem 19
AMC8 2010 年第 19 题
圆★★★☆☆
The two circles pictured have the same center C . Chord is tangent to the inner circle at B , AC is 10 , and chord has length 16 . What is the area between the two circles?
下图中的两个圆是同心圆，圆心都是 。弦 与内圆切于 ， 长为 10，弦 长为 16。那么这两个圆之间区域的面积是多少？
- A.
- B.
- C.
- D.
- E.
正确答案 · Correct Answer
C
解析 · Solution
Solution 1
Since is isosceles, bisects . Thus AB=BD=8. From the Pythagorean Theorem, CB=6. Thus the area between the two circles is
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