Question

in a rectangular plot of Land 70m long and 40m broad, a circular garden of radius 17.5 m is developed. find the cost of turfing the remaining portion at the rate of ₹28.50 per sq.metre

Answer 1

$area \: of \: plot = (70 \times 40) {m}^{2} \\ = {2800 \: m}^{2}$
$area \: of \: garden = \pi \: {r}^{2} \\ = \frac{22}{7} \times {(17.5)}^{2} \\ = \frac{22}{7} \times \frac{175}{10} \times \frac{175}{10} \\ \\ = \frac{22}{7} \times \frac{30625}{100} \\ \\ = \frac{22 \times 4375}{100} \\ = (\frac{96250}{100}) \: {m}^{2} = {962.5 \: m}^{2}$
Hence, Remaining area of plot =
$(2800 - 962.5) {m}^{2} \\ 1837.5 \: {m}^{2}$
Now, Total cost of turfing =
$Rs \: \: (28.50 \times 1837.5) \\ \\ Rs \: 52368.75$

Answer 2

Answer:

Step-by-step explanation: