How to Convert degrees to radians
To convert degrees to radians, divide the value by 57.2958.
The Formula
radians = degrees ÷ 57.2958
Key Fact
1 radian = 57.2958 degrees
Tip: To convert radians back to degrees, multiply by 57.2958.
Degrees to Radians
Convert degrees (°) to radians (rad) with formulas, examples, and conversion tables.
°
rad
1 degrees (°) = 0.0174532862793 radians (rad)
Round to:
Step-by-Step Solution
1Write the conversion factor:
1 radian = 57.2958 degrees
2Divide the value by the conversion factor:
1 ÷ 57.2958 = 0.0174532862793
3Result:
1 degrees (°) = 0.0174532862793 radians (rad)
degrees to radians Table
| degrees | radians |
|---|---|
| 1 ° | 0.0174532862793 rad |
| 2 ° | 0.0349065725585 rad |
| 5 ° | 0.0872664313964 rad |
| 10 ° | 0.174532862793 rad |
| 20 ° | 0.349065725585 rad |
| 25 ° | 0.436332156982 rad |
| 50 ° | 0.872664313964 rad |
| 100 ° | 1.74532862793 rad |
| 250 ° | 4.36332156982 rad |
| 500 ° | 8.72664313964 rad |
| 1000 ° | 17.4532862793 rad |
1 degree in Other Units
| Unit | 1 ° = |
|---|---|
| Degrees to Radians | 0.0174532862793 rad |
| Degrees to Gradians | 1.11111111111 grad |
| Degrees to Turns | 0.00277777777778 turn |
| Degrees to Arc Minutes | 59.9998800002 ′ |
| Degrees to Arc Seconds | 3599.99712 ″ |
| Degrees to Milliradians | 17.4532862793 mrad |
| Degrees to Revolutions | 0.00277777777778 rev |
| Degrees to Quadrants | 0.0111111111111 quad |
| Degrees to Sextants | 0.0166666666667 sext |