Question

Area of a circular playground is 22176m square.Find the cost of fencing this ground at the rate of 50 per metre

Answer 1

Given,
Area of circular playground= 22176 metre square
Cost of fencing the ground per metre= ₹50
Cost of fencing the circular
playground= 22176× 50
= ₹11,08,800

Answer 2

Let the radius of the circular playground = r m

Given,

area of the circular playground = $\sf{{22176m}^{2}}$

$\longrightarrow$ $\sf{π{r}^{2}=22176}$

$\longrightarrow$$\sf{{r}^{2} = \frac{22176 \times 7}{22} = 7056}$

$\therefore$ $\sf{r = √7056 = 84m}$

Length of the fence = circumference = 2πr

$\longrightarrow$$\sf{2 \times \frac{22}{7} \times 84}$

$\longrightarrow$${\boxed{\sf{528m}}}$