# Ambiguous Shaded Region

Geometry Level 3

The above figure shows 2 semicircles whose diameters lie on a common line. The chord $$DE$$ of the larger circle is parallel to the diameter, tangent to the smaller circle, and has length $$12\text{ cm}$$. Let the area of the shaded region be of the form $$A \pi$$. What is $$A$$?

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