Q.

Find the area of the shaded region if length of radius of each circle is 7 cm. Each circle touches the other two externally.


Ans.

(42)

Side of square = 14 cm

Area of shaded region = area of square – area of 4 quadrants

=142-14πr2

=196-14×227×7×7=(196-154)=42

Hence, area of shaded region = 42 cm2