MathDB
2016 Geo #3

Source:

December 30, 2016

Problem Statement

In the below picture, TT is an equilateral triangle with a side length of 55 and ω\omega is a circle with a radius of 22. The triangle and the circle have the same center. Let XX be the area of the shaded region, and let YY be the area of the starred region. What is XYX - Y?