Given,
Side of square = 8 cm
Radius of quadrant circle = 1.4 cm
Radius of inner-circle = 4.2
Area of square = (side)2 = 82 = 64 cm
Area of one quadrant of circle = \(\frac{θ}{360}\timesπr^2\)
Area of one quadrant of circle = \(\frac{90}{360}\times\frac{22}7\times1.4\times1.4\) = 1.54 cm2
So,
Area of 2 quadrant = 2×1.54 = 3.08 cm2
Area of inner circle = πr2 = 3.14 × 4.2 × 4.2 = 55.44 cm2
Area of shaded portion = area of square – (area of quadrants + area of inner circle)
= 64 – (3.08 + 55.44)
= 64 – 58.52 = 5.48 cm2