Formula
° to rad conversion formula
Use this relationship for a direct conversion:
rad = ° x 0.01745329252
Worked example
2 ° = 0.034906585 rad.
Displayed decimal results approximate irrational conversions that involve pi.
Angle conversion
Convert Degree to Radian
1 degree (°) equals 0.01745329252 radian (rad). Enter any value below to convert from ° to rad.
Enter a value and choose units. Results update instantly.
1 ° = 0.0174532925 rad
All Angle units
From 1 °| Unit | Value |
|---|---|
| Radian rad | 0.0174532925 |
| Degree ° | 1 |
| Gradian gon | 1.1111111111 |
| Turn turn | 0.0027777778 |
| Arcminute ′ | 60 |
| Arcsecond ″ | 3,600 |
| NATO mil mil | 17.7777777778 |
Recent conversions
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Quick reference
Degree to Radian table
| Degree (°) | Radian (rad) |
|---|---|
| 0.01 | 0.0001745329 |
| 0.1 | 0.0017453293 |
| 1 | 0.0174532925 |
| 2 | 0.034906585 |
| 5 | 0.0872664626 |
| 10 | 0.1745329252 |
| 25 | 0.436332313 |
| 50 | 0.872664626 |
| 100 | 1.745329252 |
| 1,000 | 17.4532925199 |
From unit
About the degree
One 360th of a full turn.
Symbol: °
To unit
About the radian
The coherent SI unit of plane angle.
Symbol: rad
Keep converting
Related conversions
Source
Conversion standard
Definitions are checked against BIPM SI Brochure: Plane angle. Calculations use full internal precision before display rounding.
View the complete angle converterQuestions
° to rad FAQ
How do you convert degree to radian?
Use the formula rad = ° x 0.01745329252. 1 degree (°) equals 0.01745329252 radian (rad).
Is the ° to rad conversion exact?
Displayed decimal results approximate irrational conversions that involve pi.