Question

In reference to a circle the value of $\mathrm{\pi }$ is equal to?

• A. $\frac{\mathrm{area}}{\mathrm{circumference}}$
• B. $\frac{\mathrm{area}}{\mathrm{diameter}}$
• C. $\frac{\mathrm{circumference}}{\mathrm{diameter}}$
• D. $\frac{\mathrm{circumference}}{\mathrm{radius}}$

Answer 1

The correct option is C

$\frac{\mathrm{circumference}}{\mathrm{diameter}}$

Explanation of the correct answer:

$$\begin{gathered} \mathrm{Circumference}\mathrm{of}\mathrm{a}\mathrm{circle}=2\mathrm{\pi r} \\ \Rightarrow \mathrm{\pi }=\frac{\mathrm{circumference}}{2\mathrm{r}} \\ \Rightarrow \mathrm{\pi }=\frac{\mathrm{circumference}}{\mathrm{diameter}}\mathbf{}\mathbf{[}\mathbf{\because }\mathbf{Diameter}\mathbf{\left(}\mathbf{d}\mathbf{\right)}\mathbf{}\mathbf{=}\mathbf{}\mathbf{2}\mathbf{\times }\mathbf{radius}\mathbf{\left(}\mathbf{r}\mathbf{\right)}\mathbf{]} \end{gathered}$$

Hence, the correct option is $\mathrm{Option}\left(\mathrm{C}\right)$