To convert degrees to radians, use the following formula:

$\text{Radians} = \text{Degrees} \times \frac{\pi}{180}$

Example 1: Convert $90^\circ$ to radians

$90^\circ \times \frac{\pi}{180} = \frac{\pi}{2} \text{ radians}$

Example 2: Convert $45^\circ$ to radians

$45^\circ \times \frac{\pi}{180} = \frac{\pi}{4} \text{ radians}$

Example 3: Convert $120^\circ$ to radians

$120^\circ \times \frac{\pi}{180} = \frac{2\pi}{3} \text{ radians}$

Example 4: Convert $270^\circ$ to radians

$270^\circ \times \frac{\pi}{180} = \frac{3\pi}{2} \text{ radians}$

Example 5: Convert $360^\circ$ to radians

$360^\circ \times \frac{\pi}{180} = 2\pi \text{ radians}$

Summary:

To convert degrees to radians, multiply the degree value by $\frac{\pi}{180}$.

Do you have any questions about these conversions, or would you like more examples?

5 Related Questions:

1. How do you convert radians back to degrees?
2. What are the advantages of using radians over degrees?
3. How would you convert $15^\circ$ or $75^\circ$ to radians?
4. Can you explain why $180^\circ = \pi$ radians?
5. What are some real-world applications where radians are more useful than degrees?

Tip:

For quick reference, $180^\circ = \pi$ radians, so any multiple or fraction of $180^\circ$ can easily be converted to radians.