circle of radius 1, chords with sum 1, inscribe reg. hexagon, no intersections
Source: Sharygin 2011 Final 8.4
December 13, 2018
circlegeometryregular polygonhexagoninscribedChordscombinatorics
Problem Statement
Given the circle of radius and several its chords with the sum of lengths . Prove that one can be inscribe a regular hexagon into that circle so that its sides don’t intersect those chords.