Question

The adjoining figure represents a rectangular lawn with a circular flower bed in the middle. Find:

$\left(i\right)$ the area of the whole land
$\left(ii\right)$ the area of the flower bed
$\left(iii\right)$ the area of the lawn excluding the area of the flower bed
$\left(iv\right)$ the circumference of the flower bed

Answer 1

Step $1$: Find the area of the whole land

IMAGE

From the figure,

Length of rectangular lawn $=10m$

Breadth of rectangular lawn $=5m$

Area of the rectangular lawn $=$ Length $\times$ Breadth

$=10\times 5=50m^2$

Step $2$: Find the area of the flower bed

From the figure,

Radius of the flower bed $=2m$

Area of the flower bed $=\pi r^2$

$=3.14\times 2^2$

$=3.14\times 4=12.56m^2$

Step $3$: Find the area of the lawn excluding the area of the flower bed

The area of the lawn excluding the area of the flower bed $=$ Area of rectangular lawn $–$
Area of flower bed

$=50-12.56=37.44m^2$

Step $4$: Find the circumference of the flower bed

The circumference of the flower bed $=2\pi r$

$=2\times 3.142=12.56m$