Radians to Degrees Converter
1 radian = 57.2958 degrees.
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Result
1 radian =
57.2958 °
1 rad × 57.2958 = 57.2958 °
radians = degrees × π ÷ 180
The working
- 1. Convert 1 rad to degrees: 1 × 57.2958 = 57.2958.
- 2. Convert to °: 57.2958 ÷ 1 = 57.2958.
1 rad in every unit
Degrees57.2958 °
Radians1 rad
Gradians63.662 grad
Arcminutes3,437.75 ′
Arcseconds206,265 ″
Turns0.159155 turn
Key angles
- Right angle
- 90° = π/2 rad
- Half turn
- 180° = π rad
- Full turn
- 360° = 2π rad
Conversion table
Radians to Degrees
| Radians | Degrees |
|---|---|
| 0.1 | 5.7296 |
| 0.5 | 28.648 |
| 1 | 57.296 |
| 1.5708 | 90 |
| 2 | 114.59 |
| 3 | 171.89 |
| 3.14159 | 180 |
| 4 | 229.18 |
| 6.28319 | 360 |
Degrees to Radians
| Degrees | Radians |
|---|---|
| 0.1 | 0.0017453 |
| 0.5 | 0.0087266 |
| 1 | 0.017453 |
| 1.5708 | 0.027416 |
| 2 | 0.034907 |
| 3 | 0.05236 |
| 3.14159 | 0.054831 |
| 4 | 0.069813 |
| 6.28319 | 0.10966 |
Formula and worked example
degrees = radians × 57.29577951.
Convert 1 radian to degrees: 1 × 57.29578 = 57.2958 °.
When you need this
Converting the output of a calculator, spreadsheet or code library back into the degrees people can picture.
Questions people ask
How many degrees are in a radian?
One radian is 57.29578 degrees.
How do I convert radians to degrees?
Multiply the number of radians by 57.29578.
What is 2 rad in °?
2 radians is 114.592 degrees.
How do I convert degrees back to radians?
Multiply by 0.017453293: one degree is 0.017453293 radians.
Related conversions
How we calculate this
We use the standard published formula or definition for this calculation, and we show the working so you can check it. Source: NIST Special Publication 811, Guide for the Use of the International System of Units.
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