ratio of sum of areas between 4 mutually internally tangent circles
Source: Cono Sur Shortlist 2005 G2
July 26, 2019
ratiotangent circlesareasgeometry
Problem Statement
Find the ratio between the sum of the areas of the circles and the area of the fourth circle that are shown in the figure
Each circle passes through the center of the previous one and they are internally tangent.
https://cdn.artofproblemsolving.com/attachments/d/2/29d2be270f7bcf9aee793b0b01c2ef10131e06.jpg