Question

If a copper wire of length 88cm is bent into the form of a circle. Find the radius of the circle (Tution25/11/14)

Answer 1

$$\begin{gathered} \mathrm{Length}\mathrm{of}\mathrm{the}\mathrm{wire}=88\mathrm{cm} \\ \mathrm{When}\mathrm{the}\mathrm{wire}\mathrm{is}\mathrm{bent}\mathrm{in}\mathrm{the}\mathrm{form}\mathrm{of}\mathrm{a}\mathrm{circle},\mathrm{then} \\ \mathrm{circumference}\mathrm{of}\mathrm{circle}=88\mathrm{cm} \\ \Rightarrow 2\mathrm{\pi r}=88\left[\mathrm{where}\mathrm{r}=\mathrm{radius}\mathrm{of}\mathrm{circle}\right] \\ \Rightarrow 2\times \frac{22}{7}\times \mathrm{r}=88 \\ \Rightarrow 44\mathrm{r}=88\times 7 \\ \Rightarrow \mathrm{r}=\frac{88\times 7}{44}=14\mathrm{cm} \\ \mathrm{So},\mathrm{the}\mathrm{radius}\mathrm{of}\mathrm{the}\mathrm{circle}=14\mathrm{cm} \end{gathered}$$