Degrees to Gradians Converter
Convert degrees to gradians — 400 gradians to a full turn instead of 360. Results update as you type; exact factors shown.
One degree is 1.1111 gradian (gon) — see the exact factor, not a rounded rule of thumb.
How the degrees to gradians converter works
Angles convert through the radian. A full turn is 2π radians = 360° = 400 gon = 6,400 NATO mils. A degree is 60 arcminutes, an arcminute 60 arcseconds.
Australia is fully metric under the National Measurement Act 1960; imperial units appear only in trade with the US and in older documents.
Common angle conversions
| From | To | Units |
|---|---|---|
| 1 ° | 1.1111 gon | degree to gradian (gon) |
| 15 ° | 16.6667 gon | degrees to gradian (gon) |
| 30 ° | 33.3333 gon | degrees to gradian (gon) |
| 45 ° | 50 gon | degrees to gradian (gon) |
| 60 ° | 66.6667 gon | degrees to gradian (gon) |
| 90 ° | 100 gon | degrees to gradian (gon) |
| 135 ° | 150 gon | degrees to gradian (gon) |
| 180 ° | 200 gon | degrees to gradian (gon) |
| 225 ° | 250 gon | degrees to gradian (gon) |
| 270 ° | 300 gon | degrees to gradian (gon) |
| 315 ° | 350 gon | degrees to gradian (gon) |
| 360 ° | 400 gon | degrees to gradian (gon) |
Units in this converter and their exact factors
| Unit | Symbol | One unit in radians |
|---|---|---|
| degree | ° | 0.0174532925 radian |
| radian | rad | 1 radian |
| gradian (gon) | gon | 0.0157079633 radian |
| arcminute | ′ | 0.0002908882 radian |
| arcsecond | ″ | 0.0000048481 radian |
| turn (revolution) | rev | 6.2831853072 radian |
| NATO mil (1/6400 turn) | mil | 0.0009817477 radian |
FAQFrequently asked questions about angle conversion
What is a gradian?
A hundredth of a right angle, so 400 to a full turn. Also called a gon or a grade.
Why does it exist?
It came from the French metric reforms — a right angle of 100 units fits decimal arithmetic better than 90.
Who uses gradians?
Surveying in parts of Europe, and some calculators keep a GRAD mode for it.
What is 90 degrees in gradians?
100 gon — a right angle exactly.
How do I convert?
Multiply degrees by 10/9.
Where these figures come from
- BIPM — The International System of Units (SI Brochure, 9th edition) — definitions of the base and derived units.
- NIST Special Publication 811 — Guide for the Use of the International System of Units — the exact conversion factors used here.
- National Measurement Institute (NMI) — Australia's national measurement authority.
Last checked: September 2026. Conversion factors are fixed by definition and do not change with tax years or regulations.