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Area(Shaded region) = Area(Square with side 10) - Area(4 quarter circles or 1 circle with radius 5)
Formula used: Area of a square = \(side^2\)
Area of a quarter circle = \(\frac{1}{4} * \pi * r^2\) where r - radius
Substituting values, Area(Square) = \(10^2 = 100\)
Area of each quarter circle = \(\frac{1}{4} * \pi * 5^2 = \frac{1}{4} * \frac{22}{7} * 25 = \frac{275}{14} = 19.5\)(apprx)
Since we have four quarter circles, the total area enclosed by them is \(4*19.5 = 78\)
Therefore, the area of the shaded region which is the difference in areas is 100 - 78 =
22(Option E)
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