Degrees to Gradians Converter
Convert degrees (°) to gradians (gon) with the calculator below. Enter a value in either field for an instant result.
10 ° equals 11.11111111 gon.
Degrees to Gradians Conversion Table
Use these common values as a quick reference.
| Degrees (°) | Gradians (gon) |
|---|---|
| 0.01 ° | 0.01111111111 gon |
| 0.1 ° | 0.1111111111 gon |
| 1 ° | 1.111111111 gon |
| 2 ° | 2.222222222 gon |
| 5 ° | 5.555555556 gon |
| 10 ° | 11.11111111 gon |
| 20 ° | 22.22222222 gon |
| 50 ° | 55.55555556 gon |
| 100 ° | 111.1111111 gon |
| 1000 ° | 1111.111111 gon |
How to Convert Degree to Gradian
Conversion: 1 ° = 1.111111111 gon.
Formula: gradians = degrees × 1.111111111
- Enter the degree value.
- Apply the conversion formula shown above.
- Round the result only as much as your use requires.
Example: 10 ° = 11.11111111 gon.
Understanding the Degree to Gradian Conversion
One degree equals 1.111111111 gon. Because this factor is greater than one, the numerical value usually becomes larger when converting from ° to gon, even though the measured quantity does not change.
Angle units describe rotation or separation between directions. Degrees are familiar in everyday use, radians are standard in mathematics, and arcminutes and arcseconds support very precise measurement.
Degree is commonly used for navigation, geometry and everyday angles, while Gradian is commonly used for surveying and specialized measurement. Converting between them makes measurements easier to compare without changing the quantity being described.
Worked Degree to Gradian Examples
These examples show how the conversion works for several practical values.
- 0.5 °: 0.5 × 1.111111111 = 0.5555555556 gon.
- 3 °: 3 × 1.111111111 = 3.333333333 gon.
- 25 °: 25 × 1.111111111 = 27.77777778 gon.
Accuracy, Precision and Rounding
Everyday Units stores each unit as a factor relative to a shared base unit—Radian. The entered value is converted to that base and then to gradian.
The calculator normally shows up to ten significant digits and removes unnecessary trailing zeros. This balances accuracy with readability. If the result will be used in engineering, science, medicine, trade or another precision-sensitive setting, follow the rounding and tolerance rules required for that specific use.
Common mistakes to avoid
- Check that the selected symbols match the units shown in the source measurement.
- Do not round the conversion factor before completing the calculation.
- Keep the unit symbol beside the number so the result cannot be mistaken for another measurement.
About the Units
Degree (°)
Definition: One degree is equal to 0.01745329252 rad in the converter’s base system.
History and origin: A full circle is divided into 360 degrees.
Current use: This unit is commonly used for navigation, geometry and everyday angles.
Gradian (gon)
Definition: One gradian is equal to 0.01570796327 rad in the converter’s base system.
History and origin: A right angle contains 100 gradians.
Current use: This unit is commonly used for surveying and specialized measurement.
Frequently Asked Questions
How many gradians are in one degree?
One degree is 1.111111111 gon. The calculator uses this relationship for every value entered.
What is the reverse gradian to degree conversion?
One gradian equals 0.9 °. Use the reverse-conversion link below to open that calculator directly.
Can I convert decimal and very small values?
Yes. Enter integers, decimals, or very small values in either field. Results use sensible precision, with scientific notation only when it improves readability.
How should I round the result?
Keep the full calculator result during intermediate work, then round once at the end. Everyday estimates may need only two or three decimal places, while technical work may require more significant digits.
Is the degree to gradian conversion accurate?
The calculation uses the centralized conversion constant shown on this page. Everyday Units converts through the category’s base unit and keeps more precision internally than is normally needed for display.
How This Calculator Works
All calculations happen locally in your browser. No conversion request is sent to an external service. The same centralized unit definitions power the calculator, formula, examples and tables, which helps keep the figures consistent across every related page. Read our conversion methodology and sources for standards, assumptions and rounding details.
For a quick check, compare the forward and reverse relationships above: converting a value to gon and back to ° should return the original measurement, apart from normal display rounding.