MathDB
TOT 131 1986 Autumn S7 21 points on a circle, angle of arc <=120

Source:

August 29, 2019
combinatoricscombinatorial geometryarcanglespointscircle

Problem Statement

On the circumference of a circle are 2121 points. Prove that among the arcs which join any two of these points, at least 100100 of them must subtend an angle at the centre of the circle not exceeding 120o120^o .
( A . F . Sidorenko)