MathDB
BMT 2020 Fall - Geometry Tiebreaker 1

Source:

December 30, 2021
geometry

Problem Statement

Given a regular hexagon, a circle is drawn circumscribing it and another circle is drawn inscribing it. The ratio of the area of the larger circle to the area of the smaller circle can be written in the form mn\frac{m}{n} , where m and n are relatively prime positive integers. Compute m+nm + n.