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Science
Angle Conversion Table
Values shown for 1 Degree
About Angle Conversions
Angles run through math, engineering, navigation, and astronomy. The degree, split into 60 arcminutes and 3,600 arcseconds, has been the standard since Babylonian mathematics. The radian, the SI unit, ties arc length straight to radius and is what makes calculus on circles clean: a full turn is exactly 2π radians. Gradians, or gons, cut a right angle into exactly 100 parts, which is why surveyors and civil engineers across continental Europe favor them. Revolutions, full turns, show up in mechanical work for rotation speed. The identities below are exact: 1 revolution = 360° = 2π rad = 400 gon.
| Unit Name | Symbol | Value | Formula |
|---|---|---|---|
| Arcminute | ′ | 60 | divide by 60 |
| Arcsecond | ″ | 3600 | divide by 3,600 |
| Degree | ° | 1 | base unit |
| Gradian | gon | 1.11111 | multiply by 0.9 |
| Radian | rad | 0.0174533 | multiply by 180/π |
| Revolution | rev | 0.00277778 | multiply by 360 |