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  • A gardener wants to fence a circular garden of diameter 21 m. Find the length of the rope he needs to purchase, if he makes 2 rounds of fence.

Q. 4.    A gardener wants to fence a circular garden of diameter 21 \; m. Find the length of the rope he needs to purchase if he makes 2 rounds of fence. Also find the cost of the rope, if it costs Rs.4 \; per \; meter.  (Take\pi =\frac{22}{7} ).

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It is given that diameter of a circular garden is 21 \; m.

We know that

Circumference of circle is = 2\pi r

\Rightarrow 2 \times \frac{22}{7}\times \frac{21}{2} = 66 \ m

Now, length of the rope requires to makes 2 rounds of fence is 

\Rightarrow 2 \times  circumference of circle

\Rightarrow 2 \times 66 = 132 \ m

Now,  cost of rope at Rs.4 \; per \; meter is 

\Rightarrow 132 \times 4 = 528 \ Rs

Therefore, length of the rope requires to makes 2 rounds of fence is  132 m and   cost of rope at Rs.4 \; per \; meter is  Rs 528 

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Gautam harsolia

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