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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