MathDB
Circles and tangents

Source: 2024 Mozambican National MO Selection Test P2

October 2, 2024
power of a pointcirclesPythagorean TheoremgeometrytangentSquares

Problem Statement

On a sheet divided into squares, each square measuring 2cm2cm, two circles are drawn such that both circles are inscribed in a square as in the figure below. Determine the minimum distance between the two circles.