# How do you convert 303 degrees to radian?

Jun 9, 2015

303° = (101pi)/60 ~~ 5.29

#### Explanation:

One full circle is 360°.

The radian unit is used to express an angle as the arc to radius ratio.
Therefore, one full circle is $2 \pi$

Therefore $\frac{303}{360} = \frac{x}{2 \pi}$

$\rightarrow x = \frac{303 \cdot 2 \pi}{360} = \frac{303 \pi}{180} = \frac{101 \pi}{60} \approx 5.29$