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.
The UK is metric for most trade and science but keeps miles, pints, stone and mpg (with the imperial gallon) in daily life.
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 Physical Laboratory (NPL) — United Kingdom's national measurement authority.
Last checked: September 2026. Conversion factors are fixed by definition and do not change with tax years or regulations.