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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