Angle Converter
Convert between degrees, radians, gradians, and other angle units
About Angle Converter
Understanding Angular Measurement
Angular measurement quantifies rotation and direction in various fields, from navigation to mathematics. The mathematical community primarily uses radians, while degrees remain common in everyday applications. The relationship between these units stems from the fundamental properties of circles: one complete rotation equals 360 degrees, 2π radians, 400 gradians, or one turn. Each unit system offers advantages in specific contexts, which is why multiple systems persist in modern use.
Common Angular Units
| Unit | Full Circle | Common Use |
|---|---|---|
| Degrees (°) | 360° | General use |
| Radians | 2π | Mathematics |
| Gradians | 400 | Engineering |
| Turns | 1 | Computer graphics |
Precision Units
Arc Units
- 1° = 60 arcminutes
- 1′ = 60 arcseconds
- 1″ ≈ 0.000004848 radians
- Used in astronomy
Military Units
- 1 circle = 6400 mils
- 1 mil ≈ 0.05625 degrees
- Used in artillery
- Based on milliradian
Applications
Navigation
- Compass bearings (degrees)
- GPS coordinates (dec. degrees)
- Nautical navigation
- Aviation headings
Science
- Trigonometry (radians)
- Physics calculations
- Wave analysis
- Orbital mechanics
Engineering
- CAD design (degrees)
- Surveying (gradians)
- Mechanical systems
- Robot kinematics
Astronomy
- Celestial coordinates
- Angular diameter
- Stellar parallax
- Telescope positioning
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