# Cool Ellipse

Geometry Level 2

Point $$O$$ is the center of the ellipse with major axis $$AB$$ & minor axis $$CD$$ Point F is one of the focus of this ellipse.

If $$OF=6$$, and the diameter of inscribed circle of triangle $$\triangle{OCF}$$ is $$2$$, then find $$(AB)\cdot (CD)$$

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