The adjoining figure represents a rectangular lawn with a circular flower bed in the middle. Find:
$(i)$ the area of the whole land
$(ii)$ the area of the flower bed
$(iii)$ the area of the lawn excluding the area of the flower bed
$(iv)$ the circumference of the flower bed."
$(i)$. Length of the lawn$= 10\ m$
Breadth of the lawn$= 5\ m$
Area of the lawn$= l\times b$
$=10m\times5m=50\ m^2$
$(ii)$. Area of the circular flower bed$= \pi r^2$
$\frac{22}{7}\times2\times2=\frac{88}{7}m^2=12.57\ m^2$
$(iii)$. Area of the lawn excluding the area of the flower bed
$=50m^2-\frac{88}{7}\ m^2$
$=\frac{350-88}{7}\ m^2=\frac{262}{7}\ m^2=37.43\ m^2$
$(iv)$. Circumference of the flower bed$= 2\pi r^2$
$=2\times\frac{22}{7}\times2=12.56\ m$
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