tangent semicircles inside a rectangle (2020 Novosibirsk Oral Geo Oly 9.1)
Source:
May 24, 2021
geometryrectangletangent circlessemicircles
Problem Statement
Two semicircles touch the side of the rectangle, each other and the segment drawn in it as in the figure. What part of the whole rectangle is filled?
https://cdn.artofproblemsolving.com/attachments/3/e/70ca8b80240a282553294a58cb3ed807d016be.png