Radians to Degrees (rad to °) Converter
1 radian (rad) = 57.2958 degrees (°). To convert radians to degrees, multiply by 57.2958: 25 rad × 57.2958 = 1,432.39 °.
Quick facts
- 1 rad = 57.2958 °
- 1 ° = 0.0174533 rad
- Formula: ° = rad × 57.2958
- Quick estimate: multiply by about 57
How to convert radians to degrees
- Take the value in radians.
- Multiply it by 57.2958 (the number of degrees in one radian).
- Round the result to the precision you need.
Worked example: 25 rad × 57.2958 = 1432.39 °.
To convert degrees back to radians, multiply by 0.0174533, or divide by 57.2958.
Source: BIPM SI Brochure, 9th edition (the radian).
Radians to Degrees conversion table
| Radians [rad] | Degrees [°] |
|---|---|
| 0.01 rad | 0.5729577951 ° |
| 0.1 rad | 5.7295779513 ° |
| 1 rad | 57.2957795131 ° |
| 2 rad | 114.5915590262 ° |
| 3 rad | 171.8873385392 ° |
| 5 rad | 286.4788975654 ° |
| 10 rad | 572.9577951308 ° |
| 20 rad | 1145.9155902616 ° |
| 50 rad | 2864.7889756541 ° |
| 100 rad | 5729.5779513082 ° |
| 1000 rad | 57295.7795130823 ° |
rad to ° chart from 1 to 100
- 1 rad 57.2958 °
- 2 rad 114.592 °
- 3 rad 171.887 °
- 4 rad 229.183 °
- 5 rad 286.479 °
- 6 rad 343.775 °
- 7 rad 401.07 °
- 8 rad 458.366 °
- 9 rad 515.662 °
- 10 rad 572.958 °
- 11 rad 630.254 °
- 12 rad 687.549 °
- 13 rad 744.845 °
- 14 rad 802.141 °
- 15 rad 859.437 °
- 16 rad 916.732 °
- 17 rad 974.028 °
- 18 rad 1031.32 °
- 19 rad 1088.62 °
- 20 rad 1145.92 °
- 25 rad 1432.39 °
- 30 rad 1718.87 °
- 35 rad 2005.35 °
- 40 rad 2291.83 °
- 45 rad 2578.31 °
- 50 rad 2864.79 °
- 55 rad 3151.27 °
- 60 rad 3437.75 °
- 65 rad 3724.23 °
- 70 rad 4010.7 °
- 75 rad 4297.18 °
- 80 rad 4583.66 °
- 85 rad 4870.14 °
- 90 rad 5156.62 °
- 95 rad 5443.1 °
- 100 rad 5729.58 °
Degrees to Radians conversion table
| Degrees [°] | Radians [rad] |
|---|---|
| 0.01 ° | 0.0001745329 rad |
| 0.1 ° | 0.0017453293 rad |
| 1 ° | 0.0174532925 rad |
| 2 ° | 0.034906585 rad |
| 3 ° | 0.0523598776 rad |
| 5 ° | 0.0872664626 rad |
| 10 ° | 0.1745329252 rad |
| 20 ° | 0.3490658504 rad |
| 50 ° | 0.872664626 rad |
| 100 ° | 1.745329252 rad |
| 1000 ° | 17.4532925199 rad |
Radians vs Degrees
| Radian | Degree | |
|---|---|---|
| Symbol | rad | ° |
| Equals | 1 rad = 57.2958 ° | 1 ° = 0.0174533 rad |
What is a radian?
The SI unit of angle, where one full rotation equals 2π radians. Used throughout calculus, physics, and engineering.
What is a degree?
One 360th of a full rotation. The everyday unit for angles in geometry, navigation, and construction.
Frequently asked questions
How many degrees are in a radian?
There are 57.2958 degrees in 1 radian (1 rad = 57.2957795131 °).
How many radians are in a degree?
There are 0.0174533 radians in 1 degree (1 ° = 0.0174532925 rad).
How do I convert radians to degrees?
Multiply the number of radians by 57.2958. For example, 10 rad × 57.2958 = 572.958 °. To convert back, multiply by 0.0174533.
What is 10 rad in degrees?
10 rad = 572.958 °.
What is 100 rad in degrees?
100 rad = 5,729.58 °.
Is the conversion exact?
Yes. The factor comes from the official definitions of both units (BIPM SI Brochure, 9th edition (the radian)). Results are shown to up to 10 decimal places; round them to suit your purpose.
Related conversions
Popular angle conversions
- Degrees to Radians
- Degrees to Gradians
- Arcminutes to Degrees
- Arcseconds to Degrees
- Degrees to Arcminutes
Convert radians to other units
Convert other units to degrees
Open the full angle converter with every unit →