Question

A gardener wants to fence a circular garden of radius 28 m. Find the length of the rope he needs to purchase and the cost of the rope if it costs Rs.4 per metre

Answer 1

$$\begin{gathered} \mathrm{Radius}\mathrm{of}\mathrm{the}\mathrm{circular}\mathrm{garden},\mathrm{r}=28\mathrm{m} \\ \mathrm{Perimeter}\mathrm{of}\mathrm{circular}\mathrm{garden}=2\mathrm{\pi r} \\ =2\times \frac{22}{7}\times 28 \\ =176\mathrm{m} \\ \mathrm{Length}\mathrm{of}\mathrm{the}\mathrm{rope}\mathrm{needed}=176\mathrm{m} \\ \mathrm{Cost}\mathrm{of}1\mathrm{m}\mathrm{of}\mathrm{rope}=\mathrm{Rs}4 \\ \mathrm{Cost}\mathrm{of}176\mathrm{m}\mathrm{of}\mathrm{rope}=\mathrm{Rs}\left(4\times 176\right)=\mathrm{Rs}704 \end{gathered}$$