# Circle In A Semicircle In A Quarter Circle

Geometry Level 2

The diagram above shows that a semicircle is inscribed in a quarter circle while a small circle is inscribed in the semicircle. Given that $$AD=AE$$ and the radius of the quarter circle is $$14\sqrt{2} \text{ cm}$$, find the area of the green region above (in $$\text{cm}^{2}$$).

For your final step, use the approximation $$\pi = \dfrac{22}{7}$$.

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