Degrees to gradians
Multiply degrees by 1.1111 to get gradians.
60 ° = 66.6667 gon
How to convert degrees to gradians
The gradian is one 400th of a full turn — used in surveying. The degree is one 360th of a full turn — the everyday unit of angle.
Worked example — 60 °: 60 × 1.1111 = 66.6667 gon.
Degrees to gradians table
| Degrees | Gradians |
|---|---|
| 1 ° | 1.1111 gon |
| 15 ° | 16.6667 gon |
| 30 ° | 33.3333 gon |
| 45 ° | 50 gon |
| 60 ° | 66.6667 gon |
| 90 ° | 100 gon |
| 100 ° | 111.1111 gon |
| 180 ° | 200 gon |
| 360 ° | 400 gon |
Reverse and related
About degrees and gradians
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)
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)
Where people use this
Degrees: geometry, navigation, construction angles. Gradians: surveying, some European engineering. 90° is exactly 100 gradians.
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 gradians is 90 degrees?
90° is exactly 100 gradians.
What is a gradian?
A gradian (gon) is one 400th of a full turn, so a right angle is 100 gradians.
How many gradians is 45 degrees?
45° is 50 gradians.