In the given figure, ABCD is a square of side 7 cm, DPBA and DQBC are quadrants of circles each of the radius 7 cm. Find the area of shaded region.


Given:

Side of square = 7 cm


Radius of each quadrant = 7 cm


Area of square = side × side = 7 × 7 = 49 cm2


Area of quadrant = πr2


Area of 2 quadrants = 2 × × πr2


= × × 7 × 7


= 77 cm2


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


= 77 – 49 = 28 cm2


Hence, the area of shaded region is 28 cm2.


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