Question

In the given figure, ABCD is a square each of whose sides measures 28 cm. Find the area of the shaded region. [Take `π = 22/7`.]

Answer 1

Let r be the radius of the circle.

Thus, we have: 

`r = 28/2 "cm"`

= 14 cm

Now,

Area of the shaded region =(Arae of the square ABCD) - 4(Area of the sector where r = 14 cm and  θ = 90°)

`=|(28xx28)-4(22/7xx14xx14xx90/360)|"cm"^2`

`=|784 - 4(154)| "cm"^2`

= (784 - 616) cm²  

= 168 cm²