Convert Degrees to Gradians
Use our free online converter to easily convert from Degrees to Gradians. Get accurate conversions instantly.
Converting Degrees to Gradians
Converting degrees to gradians is useful in certain engineering fields, particularly in continental European surveying, where the gradian is sometimes preferred for its decimal relationship to right angles.
Mathematical Relationship
The mathematical relation between degrees and gradians is: 90 degrees = 100 gradians. To convert an angle in degrees to gradians, multiply the degree value by 10/9.
Common Conversion Values
| Degrees | Gradians |
|---|---|
| 0 | 0 |
| 9 | 10 |
| 45 | 50 |
| 90 | 100 |
| 180 | 200 |
Unit Definitions
Degrees
The degree (symbol: °) is a unit of angle measurement defined as 1/360 of a full rotation. It is widely used in many fields including navigation, surveying, mathematics, and everyday contexts.
Gradians
The gradian (symbol: gon or grad) is a unit of angle measurement defined as 1/400 of a full rotation. It was introduced as part of the metric system, with 100 gradians in a right angle, making it convenient for decimal calculations.
Historical Context
The degree has ancient origins in Babylonian mathematics. The gradian was introduced during the French Revolution as part of the metric system's decimal approach to measurement. While not as widely used as degrees or radians, gradians remain relevant in some European surveying applications.