How to convert degrees to radians? Give examples

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.

Learn how to convert degrees to radians using the formula Degrees × (π / 180). This guide provides multiple examples including converting 90°, 45°, 120°, 270°, and 360° to radians, making it easy to understand trigonometric conversions. Suitable for students in Grades 9-12.

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