In the given figure, find the area of the shaded region, where ABCD is a square of side 14 cm and all circles are of the same diameter.

Given:

Side of square = 14 cm

Let the radius of each circle be ‘r’ cm

Then, 2r + 2r = 14 cm

4r = 14 cm

r = =

Area of square = side × side = 14 × 14 = 196 cm^{2}

∵ Area of circle = πr^{2}

∴ Area of 4 circles = 4 × πr^{2}

= 4 × × ×

= 22 × 7 = 154 cm^{2}

Area of shaded region = Area of square – Area of 4 circles

= 196 -154 = 42 cm^{2}

__Hence, the area of shaded region is 42 cm ^{2}.__

42