Question

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:

\[
\boxed{5.76}
\]