Question

The quadrants shown in the figure are each of radius 7 cm. Calculate the area of the shaded portion.

Answer 1

Find your answer attached....

Feel free to ask any doubt

Answer 2

Therefore, Area of the shaded portion is $42cm^{2}$

Step-by-step explanation:

Given,

Radius of the circle is $7cm$

As shown in the figure,

Side of the square$=2\times 7=14cm$

Area of four quadrants$=$Area of one circle

⇒Area of four quadrants$=\pi r^{2}$

⇒Area of four quadrants$=\pi (7\times 7)=154cm^{2}$

And Area of square$=(14\times 14)=196$

∴ Area of the shaded portion$=$Area of square$-$Area of four quadrants

⇒Area of the shaded portion$=196-154=42cm^{2}$

∴ Area of the shaded portion is $42cm^{2}$