To convert degrees to radians, you can use the formula:
\[ \text{radians} = \text{degrees} \times \left( \frac{\pi}{180} \right) \]
For 330 degrees:
\[ \text{radians} = 330 \times \left( \frac{\pi}{180} \right) = \frac{330\pi}{180} \]
Now, simplify the fraction:
\[ \frac{330}{180} = \frac{11}{6} \]
Thus,
\[ \text{radians} = \frac{11\pi}{6} \]
To get a decimal approximation, we can calculate this value using \(\pi \approx 3.141592653589793\):
\[ \text{radians} \approx \frac{11 \times 3.141592653589793}{6} \approx 5.759586531581287 \]
Now, rounding to the nearest hundredth:
\[ 5.759586531581287 \approx 5.76 \]
So the final answer in radians, rounded to the nearest hundredth, is:
\[ \boxed{5.76} \]