Convert a 150 degree measure to a 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 \( \frac{\pi \text{ radians}}{180 \text{ degrees}} \).

To convert 150 degrees to radians:

\[ 150 \text{ degrees} \times \frac{\pi \text{ radians}}{180 \text{ degrees}} = \frac{150\pi}{180} \text{ radians} \]

Now, simplify the fraction:

\[ \frac{150\pi}{180} = \frac{5\pi}{6} \text{ radians} \]

So, 150 degrees is equivalent to \( \frac{5\pi}{6} \) radians.