At least one of the 7 arcs created is at most 1/24
Source: Pan African Olympiad 2010
October 1, 2011
pigeonhole principlecombinatorics proposedcombinatorics
Problem Statement
Seven distinct points are marked on a circle of circumference . Three of the points form an equilateral triangle and the other four form a square. Prove that at least one of the seven arcs into which the seven points divide the circle has length less than or equal .