tangent semicircle and 1/4 circle in square (2021 Novosibirsk Oral Geo Oly 9.4)
Source:
May 25, 2021
tangent circlesgeometrysquare
Problem Statement
A semicircle of radius and a quarter of a circle of radius touch each other and are located inside the square as shown in the figure. Find the length of the part of the common tangent, enclosed in the same square.
https://cdn.artofproblemsolving.com/attachments/f/2/010f501a7bc1d34561f2fe585773816f168e93.png