Answer :

Given:

Side of the square = 4 cm


Radius of the quadrants at the corners = 1 cm


Radius of the circle in the centre = 1 cm


4 quadrants = 1 circle


There are 2 circles of radius 1 cm


Area of square = side × side


= 4 × 4 = 16 cm2


Area of 2 circles = 2 × πr2


= 2 × × 1 × 1 = cm2


Area of shaded region = Area of square – Area of 2 circles


= 16 -


= = cm2 = 9.7 cm2


Hence, the area of shaded region is 9.72 cm2.


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