MathDB
3 points on unit circle, each circle havinf radius >r contains at least 1 /3

Source: 2019 Swedish Mathematical Competition p4

May 1, 2021
combinatorial geometrycirclecombinatorics

Problem Statement

Let Ω\Omega be a circle disk with radius 11. Determine the minimum rr that has the following property: You can select three points on Ω\Omega so that each circle disk located in Ω\Omega and has a radius greater than rr contains at least one of the three points.
Back to ProblemsView on AoPS