Question

In Fig. 19, the radius of quarter circular plot taken is 2 m and radius of the flower bed is 2 m. Find the area of the remaining field.

Answer 1

Radius of the quarter circular plot = 2 m
Area of the quarter circular plot = $\mathrm{\pi }(2{)}^2=\frac{22}{7}\times 4==12.57{\mathrm{m}}^2$
Radius of each flower bed = 2 m
Area of four flower beds = $4\times \frac{1}{4}\times \mathrm{\pi }(2{)}^2=12.57{\mathrm{m}}^2$
Area of the rectangular region = Length $\times$ Breadth
Area of the rectangular region = 8 $\times$ 6 = 48 m²
Area of the remaining field = Area of the rectangular region - (Area of the quarter circle + Area of the four flower beds)

Area of the remaining field = [48 - (12.57 + 12.57)] m² = 22.86 m^{2 .}