# How do you convert 350 degrees into radians?

Mar 2, 2018

$1.944 \pi$ radians

#### Explanation:

Radians is $r a d$

Since ${180}^{o} = \pi r a d$

${180}^{o} / 180 = \frac{\pi}{180} r a d$

${1}^{o} = \frac{\pi}{180} r a d$

Now, we get from ${1}^{o}$ to ${350}^{o}$ by multiplying by $350$

So, we do the same to the other side:

${1}^{o} \cdot {350}^{o} = \frac{\pi}{180} r a d \cdot {350}^{o}$

$\frac{\pi}{180} r a d \cdot {350}^{o}$

$= \frac{350}{180} \pi$

$\approx 1.944 \pi$ radians

And there we have our answer.