Plane-angle units from astronomical sub-arcsecond scales through full rotations.
All factors come from the central conversion registry.
| Unit | Symbol | System | Definition |
|---|---|---|---|
| Degree | ° | Conventional | 180° = π rad |
| Radian | rad | SI | 1 rad = 1 rad |
| Gradian | gon | Surveying | 200 gon = π rad |
| Turn | turn | General | 1 turn = 2π rad = 360° |
| Arcminute | ′ | Angular | 60′ = 1° |
| Arcsecond | ″ | Angular | 3600″ = 1° |
| Milliarcsecond | mas | Astronomical | 1 mas = 0.001 arcsec |
| Quadrant | quadrant | Conventional | 1 quadrant = 90° = π/2 rad |
| Sextant | sextant | Historical angular division | 1 sextant = 60° = π/3 rad |
| Octant | octant | Historical angular division | 1 octant = 45° = π/4 rad |
| Binary Degree | brad | Computing | 1 binary degree = 360°/256 = 1.40625° |
Angle conversions relate degrees, radians and other angular units. A full turn is 360 degrees or 2π radians, so conversions involving π are mathematically defined rather than rounded constants.
The interactive calculator, reference table and indexed pair pages all read from the same conversion registry, so unit definitions and formulas stay synchronized.