Question

In a rectangle garden of dimensions 75m multiply 50m a circular pond is constructed at the center with radius 21m find the area of land left out

Answer 1

$\bold{given : } \\ \\ dimensios \: of \: a \: rectangular \: garden : \\ \\ length : \\ \\ 75 \: m \: \\ \\ breadth : \\ \\ 50 \: m \: \\ \\ \\ \\ \bold{area \: of \: that \: garden : }$$\\ \\ \bold{length \: \times \: breadth} \\ \\ 75 \times 50 \\ \\ \bold{3750 \: {m}^{2} }$$the \: circular \: pond \: is \\ \\ \: build \: in \: the \: garden \\ \\ dimensions \: of \: circular \: pond : \\ \\ radius : \\ \\ 21 \: m \: \\ \\ \\ \\ \bold{area \: of \: pond : }$$\bold{\pi \times {r}^{2} } \\ \\ \frac{22}{7} \times 21 \times 21 \\ \\ 22 \times 21 \times 3 \\ \\ \bold{1386 \: {m}^{2}}$$\bold{ area \: of \: garden \: left : } \\ \\ area \: of \: garden \: - \: area \: of \: pond \: \\ \\ 3750 {m}^{2} - 1386 \: {m}^{2} \\ \\ \bold{2364 \: {m}^{2} }$

Answer 2

Given:

Length of the the garden = 75m

Breadth of the Garden = 50m.

Radius of the Pond = 21m.

To Find= Area of the land left out.

Solution : Area of the Garden= lb

= 75 × 50

= 3750 m

Area of the Pond = πr×r

= 22/7× 21× 21

=22 × 63

=1386 sq.m

Area or land left out = Area of the Garden - Area of the Pond.

=3750-1386

=2364 sq.m