Chisinau MO p65 1973 combo geo with N chords, sum of lenghts <=3.15N
Source:
March 15, 2021
combinatoricscombinatorial geometrychordgeometric inequalitygeometry
Problem Statement
A finite number of chords is drawn in a circle cm in diameter so that any diameter of the circle intersects at most of these chords. Prove that the sum of the lengths of all chords is less than cm.