# How do you convert 20^circ into radians?

$\frac{\pi}{9}$

#### Explanation:

We can convert degrees into radians (and radians to degrees) by remembering that ${180}^{o} = \pi \text{ radians}$. We can set up a ratio from this relationship to find any measure we need.

$\frac{\pi}{180} ^ o = \frac{x}{20} ^ o$

${20}^{o} \pi = \left(x\right) \left({180}^{o}\right)$

divide through by ${180}^{o}$ to get:

$\frac{{20}^{o} \pi}{{180}^{o}} = x$

$x = \frac{\pi}{9}$