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=AEAD=AE and the radius of the quarter circle is 142 cm14\sqrt{2} \text{ cm}, find the area of the green region above (in cm2\text{cm}^{2}).

For your final step, use the approximation π=227\pi = \dfrac{22}{7}.

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