Convert Gradians to Degrees
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Converting Gradians to Degrees
Converting gradians to degrees is important when working between different surveying and engineering standards, particularly when translating European measurements that use gradians into the more commonly understood degree format.
Mathematical Relationship
The mathematical relation between gradians and degrees is: 100 gradians = 90 degrees. To convert an angle in gradians to degrees, multiply the gradian value by 9/10.
Common Conversion Values
| Gradians | Degrees |
|---|---|
| 0 | 0 |
| 10 | 9 |
| 50 | 45 |
| 100 | 90 |
| 200 | 180 |
Unit Definitions
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.
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.
Historical Context
The gradian was introduced during the French Revolution as part of the metric system's decimal approach to measurement. The degree has ancient origins in Babylonian mathematics. While gradians are used in some European surveying applications, degrees remain the more universally recognized unit.