# Convert 150 degrees to radians.

#### Understand the Problem

The question is asking to convert an angle measurement from degrees to radians, which involves using the conversion factor that π radians is equal to 180 degrees.

The final answer is \frac{5}{6} \pi radians

#### Steps to Solve

1. Know the conversion factor

The conversion factor between degrees and radians is that 180 degrees is equal to $\pi$ radians.

1. Set up the conversion

To convert 150 degrees to radians, you can set up the following proportion:

$$\text{radians} = 150^{\circ} \times \frac{\pi \text{ radians}}{180^{\circ}}$$

1. Simplify the fraction

Perform the division inside the fraction:

$$\text{radians} = 150 \times \frac{\pi}{180}$$ $$\text{radians} = \frac{150}{180} \times \pi$$

1. Reduce the fraction

Simplify the fraction $\frac{150}{180}$:

$$\frac{150}{180} = \frac{5}{6}$$

1. Calculate the final result

Now multiply by $\pi$:

$$\text{radians} = \frac{5}{6} \pi$$

The final answer is \frac{5}{6} \pi radians