# An Angle Discovery!

Geometry Level 4

Given that $$XY$$ is the diameter of the circle, where $$\triangle WXY$$ is enclosed in the circle and that the ratio $$\frac { Area\quad of\quad circle }{ Area\quad of\quad \triangle WXY } =2\pi$$.

Find the acute angle $$WXY$$. Giving your answer in degrees.

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