Convert 330-degree measure to radian measure. Type answer as an integer or decimal. Do not round until the final answer. Then round to the nearest hundredth as needed.

Answer 1

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:

\[ \boxed{5.76} \]