AMC 10 Step by Step
2011 AMC 10AProblem 25P21-25~12 minPrint

Let RR be a square region and n4n\ge4 an integer. A point XX in the interior of RR is called n-rayn\text{-}ray partitional if there are nn rays emanating from XX that divide RR into nn triangles of equal area. How many points are 100-ray partitional but not 60-ray partitional?

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Problem © Mathematical Association of America (MAA), American Mathematics Competitions. Reproduced for non-commercial educational use. Solution and commentary are original to this site.