Question

Convert a 150 degree measure to a radian measure

Answer 1

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.