Calculators/Angle Converter
Angle Converter
Convert between degrees, radians, gradians, and arcseconds.
1 ° = 0.01745329252 rad
| Degrees (°) | Radians (rad) |
|---|---|
| 1 | 0.01745329252 |
| 2 | 0.03490658504 |
| 5 | 0.0872664626 |
| 10 | 0.1745329252 |
| 15 | 0.2617993878 |
| 20 | 0.3490658504 |
| 25 | 0.436332313 |
| 50 | 0.872664626 |
| 75 | 1.308996939 |
| 100 | 1.745329252 |
| 150 | 2.617993878 |
| 200 | 3.490658504 |
| 250 | 4.36332313 |
| 500 | 8.72664626 |
| 1,000 | 17.45329252 |
Angle Unit Reference
Degrees: 360° in a full circle — the most familiar system. Radians: 2π in a full circle — used in math and programming. Gradians: 400 in a full circle — used in surveying.
| Degrees | Radians | Gradians |
|---|---|---|
| 30° | π/6 | 33.33 |
| 45° | π/4 | 50 |
| 90° | π/2 | 100 |
| 180° | π | 200 |
| 360° | 2π | 400 |
When Radians Matter
Trigonometric functions in most programming languages — including JavaScript, Python, C, and Java — expect angles in radians, not degrees. If you pass degrees to Math.sin(), you'll get wrong results.
To convert degrees to radians in code, multiply by π/180:
Math.sin(angle * Math.PI / 180)This is one of the most common bugs in geometry and physics calculations. Always check whether your library or language expects radians or degrees before plugging in values.