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Miklós Schweitzer 1959- Problem 4

Source:

October 30, 2015
college contestsgeometry

Problem Statement

4. Consider nn circles of radius 11 in the planea. Prove that at least one of the circles contains an are of length greater than 2πn\frac{2\pi}{n} not intersected by any other of these circles. (G. 4)
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