How to Convert Degrees to Gradians (° to gon)
Angle conversions show up in maths and physics lessons, surveying and navigation. This guide shows how to convert degrees into gradians by hand, with examples and a quick-reference table.
The conversion
To convert degrees to gradians, multiply the value by 1.1111111111. To go the other way, divide by the same number (or multiply by 0.9). For a quick estimate, multiply by about 1.1.
Gradians = degrees × 1.1111111111
Worked examples
- 3 ° = 3.3333 gon
- 12.5 ° = 13.8889 gon
- 75 ° = 83.3333 gon
Degrees to Gradians table
| Degrees | Gradians |
|---|---|
| 1 ° | 1.1111 gon |
| 2 ° | 2.2222 gon |
| 5 ° | 5.5556 gon |
| 10 ° | 11.1111 gon |
| 20 ° | 22.2222 gon |
| 25 ° | 27.7778 gon |
| 50 ° | 55.5556 gon |
| 100 ° | 111.1111 gon |
| 250 ° | 277.7778 gon |
| 500 ° | 555.5556 gon |
| 1,000 ° | 1,111.11 gon |
Common questions
Is ° to gon exact?
The factors used here are the internationally defined values where they exist; results are rounded for display only.
How do I convert back?
Use the Gradians to Degrees converter.
Mistakes to avoid
Dropping the units
A bare number without a unit is easy to misread later. Always write the unit with the result.
Forgetting squared and cubed units
Area and volume factors are the length factor squared or cubed, so 1 m² is about 10.76 sq ft, not 3.28.
Mixing similar-sounding units
US and imperial gallons, pints and tons are different sizes, and decimal kilobytes differ from binary kibibytes.
Background
Unit conversion is simply multiplication by a fixed ratio. The ratio between two units of the same quantity never changes, so once you know it you can convert any value in either direction.
Many conversion factors are exact by definition. The inch has been defined as exactly 2.54 centimetres since 1959, and the pound as exactly 0.45359237 kilograms, so conversions involving them can be as precise as you need.
Singapore adopted the metric system in the 1970s, replacing imperial units and traditional Chinese measures in most official uses. Metric units are now standard in schools, trade and government, but older units survive in property, markets and imported goods.
For any value, use the Degrees to Gradians Converter or browse all angle converters.
Run your own numbers: Degrees to Gradians Converter