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2

Part of 1988 Swedish Mathematical Competition

Problems(1)

6 ducklings swim on the surface of a cyclic pond

Source: 1988 Swedish Mathematical Competition p2

3/28/2021
Six ducklings swim on the surface of a pond, which is in the shape of a circle with radius 55 m. Show that at every moment, two of the ducklings swim on the distance of at most 55 m from each other.
combinatoricscombinatorial geometrygeometry