Convert 330 degree measure to radian measure

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
2 hours ago

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.