Question

Inside a square plot, a circular garden is developed which exactly fits in the square plot and the diameter of the garden is equal to the side of the square plot which is 28 m. What is the area of the space left out in the square plot after developing the garden?
(a) 98 m²
(b) 146 m²
(c) 84 m²
(d) 168 m²
(e) None of these

Answer 1

find area of square and then subtract area of circle from it

Answer 2

Solution:

Side of square plot = 28 m

Area of square

$= {a}^{2}$
Area of square plot
$= {(28)}^{2} \: {m}^{2} \\ \\ = 784 \: {m}^{2}$
Diameter of circular Garden = 28 m

Radius = 14 m

$area \: of \: circular \: plot = \pi {r}^{2} \\ \\ = \frac{22}{7} \times 14 \times 14 \\ \\ = 22 \times 2 \times 14 \\ \\ = 44 \times 14 \\ \\ = 616 {m}^{2}$
Area left out in the plot
$784 - 616 \: {m}^{2} \\ \\ = 168 \: {m}^{2}$
Thus,option D is correct.

Hope it helps you.