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3

Part of 2007 Bosnia and Herzegovina Junior BMO TST

Problems(1)

circles inside a square side length 1 with sum of radii 2007

Source: 2007 Bosnia & Herzegovina JBMO TST p3

5/27/2020
Is it possible to place some circles inside a square side length 11, such that no two circles intersect and the sum of their radii is 20072007?
combinatorial geometrysquaregeometrycircles