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Science
Angle Conversion Table
Values shown for 1 Degree
About Angle Conversions
Angle measurements are fundamental in mathematics, engineering, navigation, and astronomy. The degree, divided into 60 arcminutes and 3,600 arcseconds, has been the standard angular unit since ancient Babylonian mathematics. The radian — the SI unit of angle — relates arc length directly to radius and simplifies calculus-based calculations: a full circle equals exactly 2π radians. Gradians (also called gons) divide a right angle into exactly 100 units, making them popular in surveying and civil engineering across continental Europe. Revolutions (full turns) are common in mechanical engineering for expressing rotation speed. Our converter uses exact mathematical relationships: 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 |