MathDB
2019 Fall Team #1

Source:

April 17, 2022
geometry

Problem Statement

Let ABCABC be an equilateral triangle of side length 66. Points D,ED, E and FF are on sides ABAB, BCBC, and ACAC respectively such that AD=BE=CF=2AD = BE = CF = 2. Let circle OO be the circumcircle of DEFDEF, that is, the circle that passes through points D,ED, E, and FF. What is the area of the region inside triangle ABCABC but outside circle OO?
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