HMMT 2003 U12
- Guts
- Answer
As shown in the figure, a circle of radius 1 has two equal circles whose diameters cover a chosen diameter of the larger circle. In each of these smaller circles we similarly draw three equal circles, then four in each of those, and so on. Compute the area of the region enclosed by a positive even number of circles.
Dataset text NuminaMath olympiads. Quoted with source.
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\pi / e
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