Question

the area of a circular playground is 22176metresquare .find the cost of fencing the ground at the rate of rs.50 per metre

Answer 1

Hello !
The Area of the ground = 22176 m² 
Area of the circle = πr² 
⇒ πr² = 22176
⇒ r² = 22176 × 7/22
⇒ r² = 1008×7 = 7056 m²
⇒ r = √ 7056
radius = 84 m                  Ans.
Perimeter = 2πr = 2× 22/7 × 84 = 508 metre
Cost = 508 / 50 = Rs   10.16
Hence the cost for building the fence is Rs  10.16
I hope th4 answer is correct !
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hAPPY hOLI!

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}}}$