# How do you convert (2pi)/5 to degrees?

May 13, 2015

Quite simple, actually: you just need to remember that 2pi = 360º.

If
2pi = 360º
$\frac{2 \pi}{5} = x$

Let's do a step-by-step here.

We can multiply these in 'cross', and maintain the equality, like this:

2pi*x = (2pi)/5*360º

we can divide both sides by $2 \pi$, to simplify. Then, we'd have left:

x = (360º)/5

So, x = 72º

Apr 4, 2016

${72}^{\circ}$

#### Explanation:

Remember that $\pi$ is ${180}^{\circ}$

So,

$\rightarrow \frac{2 \left(180\right)}{5}$

$\rightarrow \frac{2 \left({\cancel{180}}^{36}\right)}{\cancel{5}} ^ 1$

$\rightarrow 2 \left(36\right)$

color(green)(rArr72^circ