+118690 some people remember a formula for this, but I find it difficult to remember them so I work most things out.
This is how I might do it - I am treating it as a ratio. I know that there are pi radians in 180 degrees.
$$\begin{array}{rll}
\frac{x}{330}&=&\frac{\pi}{180}\\\\
x&=&\frac{\pi\times 330}{180}\\\\
x&=&\frac{\pi\times 11}{6}\qquad \mbox{This is the exact number of radians}\\\\
\end{array}$$
$${\frac{{\mathtt{\pi}}{\mathtt{\,\times\,}}{\mathtt{330}}}{{\mathtt{180}}}} = {\mathtt{5.759\: \!586\: \!531\: \!581\: \!287\: \!6}}$$
approx 5.76 radians
+118690 some people remember a formula for this, but I find it difficult to remember them so I work most things out.
This is how I might do it - I am treating it as a ratio. I know that there are pi radians in 180 degrees.
$$\begin{array}{rll}
\frac{x}{330}&=&\frac{\pi}{180}\\\\
x&=&\frac{\pi\times 330}{180}\\\\
x&=&\frac{\pi\times 11}{6}\qquad \mbox{This is the exact number of radians}\\\\
\end{array}$$
$${\frac{{\mathtt{\pi}}{\mathtt{\,\times\,}}{\mathtt{330}}}{{\mathtt{180}}}} = {\mathtt{5.759\: \!586\: \!531\: \!581\: \!287\: \!6}}$$
approx 5.76 radians
