Question

# A gardener wants to fence a circular garden of diameter $21m$. 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 $₹4$ per meter. (Take $\pi =\frac{22}{7}$)

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Solution

## Step1: Find the length of the rope We know that,radius $\left(r\right)=\frac{d}{2}$ $=\frac{21}{2}\phantom{\rule{0ex}{0ex}}=10.5m$Also, Circumference of the circle $=2\mathrm{\pi r}$ $=2×\frac{22}{7}×10.5\phantom{\rule{0ex}{0ex}}=\frac{462}{7}\phantom{\rule{0ex}{0ex}}=66m$So, the length of rope required $=2×66=132m$ as we need two rounds of fence.Step2: Find the cost of the ropeCost of $1m$ rope = $₹4$ Cost of $132m$ rope = $₹4×132$ $=528$Hence,Length of rope = $132m$Cost of the rope= ₹ $528$

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