Question

The area of circular playground is 22176cm2. Then find the cost of fencing this ground at the rate of rupes 50/m

Answer 1

$\pi {r}^{2} = 22176 \\ {r }^{2} =22176 \times 7 \div 22 \\ {r}^{2} = 7056 \\ r = 84$
The ground will be fenced from the exterior
i.e. it's circumference

$circumference =2 \pi \times r$
circumference = (approximately) 527.7875658031

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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}}}$