Convert degrees to radians
1 ° = 0.0174532925199 rad (rounded to 12 significant digits; use the slider below for more).
0.017 453 292 519 9rad
As a fraction: 523598775598298873077107230546583814032861566562517636829157432051302734381/30000000000000000000000000000000000000000000000000000000000000000000000000000
More converter tools
Readable results
Ranges, ± tolerances, feet/inches and clock durations work in the value field.
Unit picker
Export this result
1 ° = 0.0174532925199 rad
Show this value in all 16 angle units
- Radians rad 0.017 453 292 519 9
- Milliradians mrad 17.453 292 519 9
- Microradians µrad 17 453.292 519 9
- Degrees ° 1
- Arcminutes ′ 60
- Arcseconds ″ 3600
- Milliarcseconds mas 3 600 000
- Gradians gon 1.111 111 111 11
- Turns tr 0.002 777 777 777 78
- Quadrants quad 0.011 111 111 111 1
- Sextants sextant 0.016 666 666 666 7
- Octants octant 0.022 222 222 222 2
- Mil (NATO)s mil 17.777 777 777 8
- Mil (Warsaw Pact)s mil 16.666 666 666 7
- Compass points pt 0.088 888 888 888 9
- Hour angles h 0.066 666 666 666 7
Every row is Degree (°) converted through the radian, in exact rational arithmetic.
How to convert degrees to radians
Multiply the number of degrees by 0.0174532925199 to get radians.
Degree to Radian conversion table
| Degrees (°) | Radians (rad) |
|---|---|
| 1 ° | 0.017 453 293 |
| 2 ° | 0.034 906 585 |
| 3 ° | 0.052 359 878 |
| 5 ° | 0.087 266 463 |
| 10 ° | 0.174 532 93 |
| 20 ° | 0.349 065 85 |
| 25 ° | 0.436 332 31 |
| 50 ° | 0.872 664 63 |
| 100 ° | 1.745 329 3 |
| 250 ° | 4.363 323 1 |
| 500 ° | 8.726 646 3 |
| 1000 ° | 17.453 293 |
Radian to Degree conversion table
| Radians (rad) | Degrees (°) |
|---|---|
| 1 rad | 57.295 78 |
| 2 rad | 114.591 56 |
| 3 rad | 171.887 34 |
| 5 rad | 286.4789 |
| 10 rad | 572.9578 |
| 20 rad | 1145.9156 |
| 25 rad | 1432.3945 |
| 50 rad | 2864.789 |
| 100 rad | 5729.578 |
| 250 rad | 14 323.945 |
| 500 rad | 28 647.89 |
| 1000 rad | 57 295.78 |
Frequently asked
How many radians are in a degree?
One degree equals 0.01745329252 radians (° → rad).
How do you convert degrees to radians?
Multiply the number of degrees by 0.0174532925199 to get radians.
What is 1 rad in degrees?
One radian is 57.29577951 degrees.
What is 10 ° in rad?
10 ° = 0.174 532 93 rad.