Degrees (°) to Gradians (gon) Conversion
Degrees
The degree (°) is a unit of angular measurement equal to 1/360 of a full rotation, a convention inherited from ancient Babylonian astronomy which used a base-60 numeral system and approximated the year as 360 days — one degree for each day of apparent solar travel. The degree is subdivided into 60 arcminutes (′), each of which divides into 60 arcseconds (″), following the same sexagesimal tradition. It is the most widely used angle unit in everyday life, navigation, geography, and engineering outside of advanced mathematics.
Gradians
The gradian (gon), also written grad, is a unit of angle that divides a full circle into exactly 400 equal parts, making a right angle exactly 100 gradians. Introduced during the French Revolution as part of the metric system reforms of the 1790s, the gradian was intended to decimalise angular measurement the way the metre decimalised length. It is still used in land surveying, civil engineering, and military mapping in parts of continental Europe — particularly France, the Netherlands, and Sweden — where its decimal relationship with right angles simplifies triangulation calculations.
| Degrees (°) | Gradians (gon) |
|---|---|
| 0.1 ° | 0.1111 gon |
| 1 ° | 1.1111 gon |
| 2 ° | 2.2222 gon |
| 3 ° | 3.3333 gon |
| 5 ° | 5.5556 gon |
| 10 ° | 11.1111 gon |
| 20 ° | 22.2222 gon |
| 30 ° | 33.3333 gon |
| 50 ° | 55.5556 gon |
| 100 ° | 111.1111 gon |
| 1000 ° | 1,111.1111 gon |
Frequently Asked Questions (FAQ)
How many gradians are in 1 degrees?
1 degrees (°) is exactly 1.1111 gradians (gon).
How do I convert degrees to gradians?
Multiply the value in degrees by 1.1111 to get the result in gradians. Or use the converter above — type any number and see the result instantly.