Q.58 - Precalculus Enhanced with Graphing Utilities

Question

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

Step-by-Step Solution

Answer

   The radius of the given circle is 3

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