Question

Find the area of the shaded field shown in figure.

Answer 1

In a figure, join ED

From figure, radius of semi-circle DEF, r = `6 - 4` = 2 m

Now, area of rectangle ABCD = `BC xx AB = 8 xx 4 = 32  cm^2`

And area of semi-circle DFE = `(pir^2)/2 = pi/2 (2)^2 = 2pi  m^2`

∴ Area of shaded region = Area of rectangle ABCD + Area of semi-circle DFE

= `(32 + 2pi)  m^2`