MathDB

60 Points in a Unit Circle

Source: OME 2014 6

July 16, 2014

combinatorics unsolvedcombinatorics

Problem Statement

60

points are on the interior of a unit circle (a circle with radius

1

). Show that there exists a point

V

on the circumference of the circle such that the sum of the distances from

V

to the

60

points is less than or equal to

80