Sky Region

Geometry Level 5

Find the area of the sky region if radius of circle is $\frac{1}{4}$ and each side of the square is 1.

The area of sky region is looks like as $\frac{a-\sqrt{b}}{c}$ , where $a$ , $b$ , $c$ are positive integers and $b$ is square free then find $a+b-c$ .

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