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It ultimately depends on the areas of the two shapes:

Acircle = pi*r2

Asquare = l2

Fraction shaded = Acircle / Asquare = pi*r2/ l2

If the circle fills the square (e.g. l=2r) then the formula simplifies considerably:

pi*r2/4r2 = pi/4

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Q: When a shaded circle is inside a square what fraction of the square is shaded?
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