Degrees to Radians Converter
Convert degrees (°) to radians (rad), with the formula, a conversion table and exact factors.
Change the values and press Calculate to work out your own figures.
Enter an angle, choose its unit and the unit you want. The answer is exact until it is shown, and the same value appears in every other unit.
Show the working
- 1 ° = 0.0174532925199 rad
- 1 × 0.0174532925199 = 0.0174532925199 rad
How to convert degrees to radians
1 ° = 0.0174532925199 rad, so multiply by 0.0174532925199 to go from degrees to radians. Going the other way, 1 rad = 57.2957795131 °.
rad = ° × 0.0174532925199 ° = rad × 57.2957795131
Worked example:
1 ° = 0.0174532925199 rad 5 × 0.0174532925199 = 0.0872664625997 rad
Degrees to radians table
| Degrees | Radians |
|---|---|
| 1 ° | 0.0174532925199 rad |
| 2 ° | 0.0349065850399 rad |
| 3 ° | 0.0523598775598 rad |
| 4 ° | 0.0698131700798 rad |
| 5 ° | 0.0872664625997 rad |
| 6 ° | 0.10471975512 rad |
| 7 ° | 0.12217304764 rad |
| 8 ° | 0.13962634016 rad |
| 9 ° | 0.157079632679 rad |
| 10 ° | 0.174532925199 rad |
| 15 ° | 0.261799387799 rad |
| 20 ° | 0.349065850399 rad |
| 25 ° | 0.436332312999 rad |
| 30 ° | 0.523598775598 rad |
| 40 ° | 0.698131700798 rad |
| 50 ° | 0.872664625997 rad |
| 75 ° | 1.308996939 rad |
| 100 ° | 1.74532925199 rad |
| 250 ° | 4.36332312999 rad |
| 500 ° | 8.72664625997 rad |
| 1000 ° | 17.4532925199 rad |
About the units
- Degrees (°)
- Degrees, a metric unit. Involves π, which no fraction equals exactly; this converter uses π to 50 significant digits, far beyond the 12 digits shown. Definition: BIPM SI Brochure, 9th edition (SI units, prefixes and units accepted for use with the SI).
- Radians (rad)
- Radians, a metric unit. Definition: BIPM SI Brochure, 9th edition (SI units, prefixes and units accepted for use with the SI).