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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