Gradians to degrees
Multiply gradians by 0.9 to get degrees.
200 gon = 180 °
How to convert gradians to degrees
The degree is one 360th of a full turn — the everyday unit of angle. The gradian is one 400th of a full turn — used in surveying.
Worked example — 200 gon: 200 × 0.9 = 180 °.
Gradians to degrees table
| Gradians | Degrees |
|---|---|
| 1 gon | 0.9 ° |
| 50 gon | 45 ° |
| 100 gon | 90 ° |
| 150 gon | 135 ° |
| 200 gon | 180 ° |
| 250 gon | 225 ° |
| 300 gon | 270 ° |
| 350 gon | 315 ° |
| 400 gon | 360 ° |
Reverse and related
About gradians and degrees
Gradian (gon)
1 gon = 0.9 °Definition. One 400th of a full turn — used in surveying
History and origin
The gradian, or gon, divides the right angle into 100 parts, giving 400 to a full turn. It was introduced in France alongside the metric system to decimalise angle measure.
Current use
Gradians are used in surveying and some European engineering.
Source: BIPM SI Brochure (2019); ISO 80000-3 (angle)
Degree (°)
1 ° = 1.1111 gonDefinition. One 360th of a full turn — the everyday unit of angle
History and origin
The degree, one 360th of a full turn, goes back to ancient Babylonian astronomers, whose base-60 counting made 360 a natural division of the circle. It has been the everyday angle measure ever since.
Current use
Degrees are used in geometry, navigation and construction, wherever angles are set out or read off.
Source: BIPM SI Brochure (2019); ISO 80000-3 (angle)
Where people use this
Gradians: surveying, some European engineering. Degrees: geometry, navigation, construction angles. 100 gradians is exactly 90°.
Every value is carried to full double precision; the display is rounded.
Both units are defined in BIPM SI Brochure (2019); ISO 80000-3 (angle).
Questions people ask
How many degrees is 100 gradians?
100 gradians is exactly 90°.
How many degrees in a gradian?
One gradian is 0.9°.
How many gradians in a full turn?
A full turn is 400 gradians, equal to 360°.