Question

If the circumference of a circle is $6\mathrm{\pi }$, what is its radius?

Short answer

The radius of the given circle is 3

Step-by-step solution

Step 1. Given information

Given that circumference of a circle is $6\mathrm{\pi }$

we have to find out the radius of the given circle.

Step  2.  Finding the radius 

Here circumference of a circle is$$\begin{gathered} circumferenceofacircleC=2\mathrm{\pi r}, \\ 2\mathrm{\pi r}=6\mathrm{\pi } \\ \mathrm{r}=\frac{6\mathrm{\pi }}{2\mathrm{\pi }} \\ \mathrm{r}=3 \end{gathered}$$