Degrees to Radians converter
Convert degrees (°) to radians (rad) — results update instantly as you type.
Degrees to Radians
To
1 ° = 0.01745329 rad
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How to convert Degrees to Radians
Angles are measured in degrees in everyday life, radians in mathematics and programming, and gradians in surveying. A full circle is 360 degrees, 2π radians, or 400 gradians.
One radian is about 57.2958 degrees — the angle where the arc length equals the radius. To convert degrees to radians, multiply by π/180; to go back, multiply by 180/π.
Formula
° × 0.0174532925 = rad
Multiply your degrees value by 0.0174532925 to get radians. For the reverse, divide by the same factor.
Degrees to Radians conversion table
| Degrees | Radians |
|---|---|
| 1 ° | 0.017453 rad |
| 2 ° | 0.034907 rad |
| 5 ° | 0.087266 rad |
| 10 ° | 0.174533 rad |
| 25 ° | 0.436332 rad |
| 100 ° | 1.745329 rad |
Common use cases
- Trigonometry homework between degrees and radians
- Programming (most math libraries use radians)
- Surveying and civil engineering with gradians
- GPS bearing and navigation calculations
Frequently asked questions
Exactly π radians (about 3.14159). A full 360° circle is 2π radians.