Question

In the given figure, the side of square is 28 cm and radius of each circle is half of the length of the side of the square where O and O' are centres of the circles. Find the area of shaded region.

Answer 1

We have,

Side of square = 28 cm and radius of each circle = `28/2` cm

Area of the shaded region

= Area of the square + Area of the two circles − Area of the two quadrants

`= (28)^2 + 2 xx pi xx (28/2)^2 - 2 xx 1/4 xx pi xx (28/2)^2`

`= (28)^2 + 3/2 xx pi xx (28/2)^2`

`= (28)^2 (1 + 3/2 xx 22/7  xx 1/2 xx 1/2)`

`= (28)^2 xx 61/28`

`= 28 xx 61`

`= 1708 cm^2`

Therefore, the area of the shaded region is 1708 cm²