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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