Find the area of the shaded field shown in figure.

Explanation

Draw the figure as shown and divide it into will known shapes. It is clear from the figure that there is one semicircle and one rectangle.
`{:("For Rectangle","For Circle"),(l = 8m,r = 6 - 4 = 2m),(b = 4m,):}`
Area of shaded region = Area of rectangle + Area of semicircle
`= l xx b + (pi r^(2))/(2) = 8 xx 4 + pi xx (2 xx 2)/(2) = (32 + 2pi )m^(2)`
Hence, the required area of shaded region `= (32 + 2 pi)m^(2)`