2. 外语
  3. The figure above shows five congruent circles each with radius 2 such that each of the five circles is tangent to two other cong

The figure above shows five congruent circles each with radius 2 such that each of the five circles is tangent to two other cong

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问题
The figure above shows five congruent circles each with radius 2 such that each of the five circles is tangent to two other congruent circles and to a smaller inner circle. The perimeter of the figure is composed of 5 lines segments of length x and 5 circular arcs of length y. What is the perimeter of the figure?
选项 A、5π+15
B、4π+20
C、5π+20
D、4π+25
E、5π+25
答案A
解析 整个图形中的圆弧段y拼起来可以形成一个圆的周长，为4x。五段线段x的长度均为两个半径的长度，为4，总长为20。故整个图形周长为4π+20。故答案为B。
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