How to find length of side of equilateral triangle when have radius of circle inscribed inside?

Question

If I have a circle inscribed inside an equilateral triangle, and I know the radius of the circle, what is the formula to determine what the length of the side of the triangle is?

Answer 1

The Wikipedia page one equilateral triangles gives the radius of the inscribed circle as $r=a\frac{\sqrt{3}}{6}$ where $a$ is the side. So $a=r\frac{6}{\sqrt{3}}$.

Answer 2

It would be $\tan 30^{\circ} = \frac{r}{x}$ so that $x = \frac{r}{\tan 30^{\circ}}$ where $x$ is half of a side.