Math
Degrees to Radians Converter
Convert degrees (°) to radians (rad) . See decimal radians and an exact π form for common angles.
Convert Degrees to Radians
Enter degrees, pick precision, then copy the result as decimal radians or simplified π form.
Steps
Enter degrees and press Convert to see the calculation using radians = degrees × π/180.
Tip: In trigonometry, most calculus-based formulas assume radians. 180° = π rad and 360° = 2π rad.
Degrees to Radians Formula
The conversion is: radians = degrees × (π / 180). This works because a full circle is 360°, which equals 2π radians.
| Degrees | Multiply by | Radians | π Form |
|---|---|---|---|
| 30° | π/180 | 0.523599… | π/6 |
| 45° | π/180 | 0.785398… | π/4 |
| 60° | π/180 | 1.047198… | π/3 |
| 90° | π/180 | 1.570796… | π/2 |
| 180° | π/180 | 3.141593… | π |
What if your angle is negative? The conversion is identical—negative degrees become negative radians, representing clockwise rotation.
| Degrees (°) | Radians (π form) | Radians (decimal) |
|---|
Use this list as a quick cheat sheet. For any other value, use the converter tab for an exact and decimal result.