Gradians to Degrees Converter
Convert gradians to degrees — multiply by nine tenths. Results update as you type; exact factors shown.
One gradian (gon) is 0.9 degrees — see the exact factor, not a rounded rule of thumb.
How the gradians to degrees 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 gon | 0.9 ° | gradian (gon) to degrees |
| 10 gon | 9 ° | gradian (gon) to degrees |
| 25 gon | 22.5 ° | gradian (gon) to degrees |
| 50 gon | 45 ° | gradian (gon) to degrees |
| 100 gon | 90 ° | gradian (gon) to degrees |
| 150 gon | 135 ° | gradian (gon) to degrees |
| 200 gon | 180 ° | gradian (gon) to degrees |
| 250 gon | 225 ° | gradian (gon) to degrees |
| 300 gon | 270 ° | gradian (gon) to degrees |
| 350 gon | 315 ° | gradian (gon) to degrees |
| 400 gon | 360 ° | gradian (gon) to degrees |
| 500 gon | 450 ° | gradian (gon) to degrees |
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
How many gradians in a right angle?
100.
What is 200 gon in degrees?
180 degrees — a half turn.
Why is my calculator giving strange trig answers?
Very often because it is in GRAD mode rather than DEG. sin(90) is 1 in degrees but 0.891 in gradians.
Is a gradian the same as a grade?
Yes — gradian, grade and gon all name the same unit.
How do I convert?
Multiply gradians by 0.9.
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.