Simple way to translate degrees into radians?

Why do you need to convert between them?

Just know that $\pi = 180^o$

The brain-dead calculator method is:

$\text{degrees} = \text{radians} \times \dfrac{180}{\pi}$
$\text{radians} = \text{degrees} \times \dfrac{\pi}{180}$
The way to remember this is that $180^{\circ} = \pi\ \text{rad}$ (which you should know anyway) so you need to multiply by $\dfrac{180}{\pi}$ or $\dfrac{\pi}{180}$. To decide which one, it's fairly obvious that 180 is a lot bigger than $\pi$, and any given angle is represented by 'more degrees than radians', so to go from radians to degrees you multiply by the top-heavy fraction, and to go from degrees to radians you multiply by the bottom-heavy fraction.

For most angles this brain-dead "hammer the calculator" method isn't very useful and you certainly won't learn much from it. But you should remember that $2\pi$ represents a full circle, so you can work out the conversions by taking appropriate fractions of this. For instance 90° is a quarter of a circle, and so it is $\dfrac{2\pi}{4} = \dfrac{\pi}{2}$ radians. And 30° is a twelfth of a circle, so it is $\dfrac{2\pi}{12} = \dfrac{\pi}{6}$ radians. And so on.