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MathNet 2011 Question 15

Math Olympiad Vault · MathNet 2011

Question 15

Unit circle $\Omega$ has points $X$, $Y$, $Z$ on its circumference so that $XYZ$ is an equilateral triangle. Let $W$ be a point other than $X$ in the plane such that triangle $WYZ$ is also equilateral. Determine the area of the region inside triangle $WYZ$ that lies outside circle $\Omega$.