How to Convert Radians to Gradians (rad to gon)
Angle conversions show up in maths and physics lessons, surveying and navigation. This guide shows how to convert radians into gradians by hand, with examples and a quick-reference table.
The conversion
To convert radians to gradians, multiply the value by 63.6619772368. To go the other way, divide by the same number (or multiply by 0.0157079633). For a quick estimate, multiply by about 64.
Gradians = radians × 63.6619772368
Worked examples
- 3 rad = 190.9859 gon
- 12.5 rad = 795.7747 gon
- 75 rad = 4,774.65 gon
Radians to Gradians table
| Radians | Gradians |
|---|---|
| 1 rad | 63.662 gon |
| 2 rad | 127.324 gon |
| 5 rad | 318.3099 gon |
| 10 rad | 636.6198 gon |
| 20 rad | 1,273.24 gon |
| 25 rad | 1,591.55 gon |
| 50 rad | 3,183.1 gon |
| 100 rad | 6,366.2 gon |
| 250 rad | 15,915.49 gon |
| 500 rad | 31,830.99 gon |
| 1,000 rad | 63,661.98 gon |
Common questions
Is rad 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 Radians 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.
Rounding the factor too early
Using 3 instead of 3.28 for feet per metre introduces an error of almost 9% before you have started.
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.
Background
Writing the units next to every number while you work is the simplest way to avoid mistakes. If the units do not cancel to leave the one you want, the calculation is set up wrongly.
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.
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.
For any value, use the Radians to Gradians Converter or browse all angle converters.
Run your own numbers: Radians to Gradians Converter