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.
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 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 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.