Ellipse in a square

Geometry Level 4

If area of the ellipse $$\frac { { x }^{ 2 } }{ 16 } +\frac { { y }^{ 2 } }{ { b }^{ 2 } } =1$$ inscribed in a square of side length $$5\sqrt{2}$$ is A, then $$\frac{A} {\pi}$$ equals to:

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