# Chords

Author: mathforces
Problem has been solved: 10 times

Русский язык | English Language

A circle $\omega$ with radius $r$ is given on the plane. The three sides of an equilateral triangle $ABC$ with side length $100 \sqrt{3}$ form three chords with lengths 6, 36, and 60 when intersected with $\omega$. Find $r^2$.