# Difference

Geometry Level 3

The diagram above shows a circle inscribed inside a square of side length $$10$$, which has a right triangle of legs length $$x$$ and $$2x$$, and hypotenuse length $$y$$ inscribed in it.

The difference between the area of the $$\color{#ee7600}{\text{orange}}$$ shaded region and the $$\color{blue}{\text{blue}}$$ shaded region can be written as $$a(b-a\pi )$$ for integers $$a$$ and $$b$$. Let the digit sum of $$b$$ be $$B$$. Then find the remainder of $\large\overline { Baa } \div B$

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