# A Triangle Evolves Into A Hexagon

Geometry Level 2

Consider an acute angled $$\Delta ABC$$ with circumcircle $$\omega$$ and circumcenter $$O$$. Now, construct points (on the circumcircle) diametrically opposite to the vertices of the triangle, and name them $$A', B'$$ and $$C'$$ as shown in the figure. The area of $$\Delta ABC$$ is $$18$$ square units.

Find the area of polygon $$AB'CA'BC'$$.

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