Convert Degrees to Radians
Easily convert degrees to radians online. Fast, accurate, and free.
How to Convert Degrees to Radians
- Enter the value in Degrees in the input field.
- The converted result in Radians appears instantly.
- Click the copy button to save the result to your clipboard.
- Use the swap button to reverse the conversion direction.
Quick Reference
| Degrees | Radians |
|---|---|
| 30 Degrees | 30 Radians |
| 45 Degrees | 45 Radians |
| 60 Degrees | 60 Radians |
| 90 Degrees | 90 Radians |
| 180 Degrees | 180 Radians |
| 270 Degrees | 270 Radians |
Use Cases
- •Converting angle measurements for geometry and trigonometry problems.
- •Working with navigation bearings in different angular systems.
- •Setting up equipment requiring precise angle calibrations.
- •Translating angular units in engineering and surveying work.
Formula
To convert degrees to radians, multiply by π/180 (≈ 0.017453).
Frequently Asked Questions
How many radians is 180 degrees?
180° = π radians ≈ 3.14159 radians.
How to convert 90 degrees to radians?
90 × π/180 = π/2 ≈ 1.5708 radians.
Why do we use radians instead of degrees?
Radians are the natural unit for angles in mathematics and physics because they simplify calculus formulas, especially derivatives of trigonometric functions.