# My first geometry problem

Geometry Level 4

Given is circle of radius $$3$$. Tangents $$BC$$ and $$EC$$ are drawn to the circle from point $$C$$ which is at a distance of $$5$$ from the the center $$A$$ of the circle. $$\overleftrightarrow { EC }$$ is parallel to $$\overleftrightarrow {BD }$$ and $$\overleftrightarrow { AD }$$ is parallel to $$\overleftrightarrow { BC }$$ . $$D'$$ is the image of $$D$$ along the produced $$\overleftrightarrow { AC }$$. Find the area of $$\Delta CDD'$$ . Provide your answer upto 3 decimal places.

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