How to convert radians to degrees
To convert radians to degrees, multiply the value by the conversion factor 57.29577951. To go the other way, multiply by 0.0174532925 (or divide by 57.29577951).
Worked example: 45 rad to °
- Write the value: 45 rad
- Multiply by 57.29577951: 45 × 57.29577951
- Result: 2,578.31 °
Radian to Degree conversion table
Quick reference values, rounded to 6 significant digits.
| Radian (rad) | Degree (°) |
|---|---|
| 0.1 rad | 5.72958 ° |
| 0.25 rad | 14.3239 ° |
| 0.5 rad | 28.6479 ° |
| 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 ° |
| 12 rad | 687.549 ° |
| 15 rad | 859.437 ° |
| 20 rad | 1,145.92 ° |
| 25 rad | 1,432.39 ° |
| 30 rad | 1,718.87 ° |
| 40 rad | 2,291.83 ° |
| 50 rad | 2,864.79 ° |
| 75 rad | 4,297.18 ° |
| 100 rad | 5,729.58 ° |
| 250 rad | 14,323.94 ° |
| 500 rad | 28,647.89 ° |
| 1,000 rad | 57,295.78 ° |
Degree to Radian
| ° | rad |
|---|---|
| 1 ° | 0.0174533 rad |
| 5 ° | 0.0872665 rad |
| 10 ° | 0.174533 rad |
| 50 ° | 0.872665 rad |
| 100 ° | 1.74533 rad |
1 Radian in other angle units
About Radian and Degree
What is a radian (rad)?
A radian is the angle where the arc length equals the radius (about 57.2958°).
What is a degree (°)?
A degree is 1/360 of a full turn.
Where radian to degree conversion is used
Angle conversions are needed for geometry, trigonometry homework, engineering drawings and navigation. Converting between radians and degrees is especially common when you compare products, read foreign specifications, or fill in forms that expect a specific unit.
Need every unit at once? Use the full Angle Converter.
Frequently asked questions
How many degrees are in 1 radian?
1 Radian equals 57.2958 °.
How do I convert radians to degrees?
Multiply the number of radians by 57.29577951. For example, 45 rad × 57.29577951 = 2,578.31 °.
What is 45 rad in °?
45 rad = 2,578.31 °.
How many radians are in 1 degree?
1 Degree equals 0.0174533 rad. Use the Degrees to Radians converter for the reverse direction.
Is this Radian to Degree converter accurate?
Yes. It uses exact internationally defined conversion factors, calculated with full floating-point precision. Results are displayed rounded for readability.