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Question

Answers

(a) Rs 52800

(b) Rs 26400

(c) Rs 13200

(d) Rs 10560

Answer
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The figure of the circular ground is as follows.

The area of the circular ground is given as 22176 sq m.

We know that the area of the circle is given by the relation $ A=\pi {{r}^{2}} $ , where A is the area and r is the radius of the circle.

We will substitute A = 22176 in the equation $ A=\pi {{r}^{2}} $ and find the value of r from the equation.

$ \begin{align}

& \Rightarrow 22176=\dfrac{22}{7}{{r}^{2}} \\

& \Rightarrow {{r}^{2}}=1008\times 7 \\

& \Rightarrow {{r}^{2}}=7056 \\

& \Rightarrow r=84 \\

\end{align} $ Therefore, the radius of the circular ground is 84 m.

Now, we will find the circumference of the circular ground, which is given by the relation $ C=2\pi r $ , where C is the circumference of the circle.

We will substitute r = 84 in the equation $ C=2\pi r $ and find the circumference.

$ \begin{align}

& \Rightarrow C=2\times \dfrac{22}{7}\times 84 \\

& \Rightarrow C=44\times 12 \\

& \Rightarrow C=528 \\

\end{align} $

Therefore, the circumference of the circle is 528 m.

We know that the cost for fencing one meter is Rs 50.

So, cost of fencing 528 m will be $ 528\times 50 $ = Rs 26400.

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