# How do you convert -285 degrees to radians?

$- {285}^{o} = - \frac{19 \pi}{12} = - 4.974$ radians
As $2 \pi$ radians equal ${360}^{o}$, ${1}^{o} = \frac{2 \pi}{360} = \frac{\pi}{180}$ radians.
Hence $- {285}^{o} = - 285 \times \frac{\pi}{180} = - 19 \cancel{285} \times \frac{\pi}{12 \cancel{180}} = - \frac{19 \pi}{12}$ radians
or $- 4.974$ radians