Angle Converter
Convert between degrees, radians, gradians, arcminutes, arcseconds and full turns. A half turn is 180°, which is π radians.
Angle Converter
Enter a value to convert
To convert degrees to radians, multiply by π/180 (about 0.017453).
Common Angle Reference
Key angles across unit systems
| Angle | Degrees | Radians | Gradians | Turns |
|---|---|---|---|---|
| Right angle | 90 | π/2 ≈ 1.5708 | 100 | 0.25 |
| Straight line | 180 | π ≈ 3.1416 | 200 | 0.5 |
| Full circle | 360 | 2π ≈ 6.2832 | 400 | 1 |
| 1 Radian | ≈ 57.296° | 1 | ≈ 63.66 | ≈ 0.159 |
| 45° (diagonal) | 45 | π/4 ≈ 0.785 | 50 | 0.125 |
| 60° (equilateral triangle) | 60 | π/3 ≈ 1.047 | 66.67 | ≈ 0.167 |
Convert between degrees, radians, gradians, arcminutes, and arcseconds — used in geometry, engineering, and programming.
Formula
Radians = degrees × π/180. Gradians = degrees × 10/9. 1 degree = 60 arcminutes.
Reference Values
- •180° = π radians (3.14159)
- •360° = 400 gradians
- •1° = 60 arcminutes
Related tools
FAQ
Common questions about angle conversion
How we calculate this
We use the standard published formula for this calculation, and we show the working so you can check it.
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