# How do you convert pi/3 radians into degrees?

Jun 30, 2018

$\frac{\pi}{3} = {60}^{\circ}$

#### Explanation:

$\pi$ rad=${180}^{\circ}$, so we can plug this into our expression to get

$\frac{180}{3} = {60}^{\circ}$

Maybe a more intuitive way to think about this is to multiply our given value by $\frac{180}{\pi}$. Notice that the unit we want, degrees, is in the numerator.

$\frac{\pi}{3} \cdot \frac{180}{\pi} = \frac{\cancel{\pi}}{\cancel{3}} \cdot 60 \frac{\cancel{180}}{\cancel{\pi}}$

$\frac{\pi}{3} = {60}^{\circ}$

Hope this helps!