How do you convert degrees to radians?
Multiply degrees by π/180 to get radians (exact).
Detailed answer
A full circle is 360° and 2π radians, so 1° = π/180 rad. Example: 180° = π rad; 90° = π/2 rad.
Relationship context
Radians are the SI angle unit; many programming math libraries use radians while users think in degrees.
Quick conversion table
| Degree (deg) | Radian (rad) |
|---|---|
| 0.1 | 0.0017453293 |
| 1 | 0.0174532925 |
| 2 | 0.034906585 |
| 3 | 0.0523598776 |
| 4 | 0.0698131701 |
| 5 | 0.0872664626 |
| 6 | 0.1047197551 |
| 7 | 0.1221730476 |
| 8 | 0.1396263402 |
| 9 | 0.1570796327 |
| Degree (deg) | Radian (rad) |
|---|---|
| 10 | 0.1745329252 |
| 20 | 0.3490658504 |
| 30 | 0.5235987756 |
| 40 | 0.6981317008 |
| 50 | 0.872664626 |
| 60 | 1.0471975512 |
| 70 | 1.2217304764 |
| 80 | 1.3962634016 |
| 90 | 1.5707963268 |
| 100 | 1.745329252 |
More Degree converters
Dedicated pages from Degree to every other hub angle unit (turn, deg, arcmin, arcsec, grad, rad, mrad, mil).
- deg to turn (Degree to Revolution)
- deg to quadrant (Degree to Quadrant)
- deg to sextant (Degree to Sextant)
- deg to arcmin (Degree to Arc Minute)
- deg to moa (Degree to Minute of Angle (MOA))
- deg to arcsec (Degree to Arc Second)
- deg to grad (Degree to Gradian)
- deg to rad (Degree to Radian)
- deg to mrad (Degree to Milliradian)
- deg to urad (Degree to Microradian)
- deg to mil (Degree to Mil)