Degrees to Radians Converter
Convert degrees (°) to radians (rad) instantly. Angle conversions show up in maths and physics lessons, surveying and navigation.
Result
- Radians
- 0.017453 rad
How to use the degrees to radians converter
- Enter the degrees (°).
- The results update as you type, or press Calculate.
- Read the radians first, then the supporting figures below it.
Formula
Radians = degrees × 0.0174532925
Worked example
For example, with these inputs:
- Degrees (°): 1
the calculator returns:
- Radians: 0.017453 rad
Degrees to Radians table
| Degrees | Radians |
|---|---|
| 1 ° | 0.017453 rad |
| 2 ° | 0.034907 rad |
| 5 ° | 0.087266 rad |
| 10 ° | 0.174533 rad |
| 20 ° | 0.349066 rad |
| 25 ° | 0.436332 rad |
| 50 ° | 0.872665 rad |
| 100 ° | 1.7453 rad |
| 250 ° | 4.3633 rad |
| 500 ° | 8.7266 rad |
| 1,000 ° | 17.4533 rad |
About this conversion
Angle conversions show up in maths and physics lessons, surveying and navigation.
Many conversion factors are exact by definition. The inch has been defined as exactly 2.54 centimetres since 1959, and the pound as exactly 0.45359237 kilograms, so conversions involving them can be as precise as you need.
For everyday use, three or four significant figures are usually enough. Engineering, science and trade documents may need more, and rounding should happen only at the end of a calculation.
Frequently asked questions
How many radians are in one degree?
1 ° = 0.017453 rad.
How do I convert ° to rad?
Radians = degrees × 0.0174532925.