Question

Convert 330 degree measure to radian measure

Answer 1

To convert degrees to radians, you can use the conversion factor \(\frac{\pi \text{ radians}}{180 \text{ degrees}}\).

Here's how to convert 330 degrees to radians:

\[
\text{radians} = 330^\circ \times \frac{\pi \text{ radians}}{180^\circ}
\]

Now, simplifying the multiplication:

\[
\text{radians} = 330 \times \frac{\pi}{180} = \frac{330\pi}{180}
\]

Next, simplify \(\frac{330}{180}\):

\[
\frac{330}{180} = \frac{11}{6}
\]

So,

\[
\text{radians} = \frac{11\pi}{6}
\]

Thus, 330 degrees is equal to \(\frac{11\pi}{6}\) radians.