Authoritative definitions of the International System of Units and SI prefixes.
Dedicated unit pair
Degrees to Gradians
Convert ° to gon instantly, then review the formula, assumptions, and rounding guidance.
AngleInstant result
Decimals
Formula result = input × 0.017453292519943295 ÷ 0.015707963267948967. 1 ° = 1.1111 gon
Common examples
One value, several units
Radians0.0175 rad
Gradians1.1111 gon
Turns0.0028 turn
Arcminutes60 ′
Arcseconds3,600 ″
Conversion table
| ° | gon |
|---|---|
| 1 ° | 1.1111 gon |
| 2 ° | 2.2222 gon |
| 5 ° | 5.5556 gon |
| 10 ° | 11.1111 gon |
| 25 ° | 27.7778 gon |
| 50 ° | 55.5556 gon |
| 100 ° | 111.1111 gon |
Conversion chart
1 °1.1111 gon
5 °5.5556 gon
10 °11.1111 gon
25 °27.7778 gon
50 °55.5556 gon
Worked example
A full turn is 360 degrees or 2π radians.
Unit definition
Degrees (°) One degrees equals 0.0174532925199 radian.
Unit history
Degrees is represented here using its modern SI definition or an internationally accepted relationship to an SI base unit.
Step by step
1. Parse the value, including fractions.
2. Convert ° to radian.
3. Convert the base value to gon and apply your display precision.
Understand the result before using it
Degrees to Gradians converts a value measured in Degrees (°) into the equivalent value in Gradians (gon). The numerical value changes because the size and definition of the selected unit changes; the underlying quantity does not.
Calculated result
The conversion follows the displayed unit relationship. Display rounding can hide additional digits, and measured inputs cannot become more accurate merely by changing units.
Formula, assumptions, and example
Formula
result = input × 0.017453292519943295 ÷ 0.015707963267948967
Assumptions
- Degrees and Gradians represent the same angle quantity.
- The input is expressed in °; the output is expressed in gon.
- The unit definitions and conventional relationship shown on this page apply.
Worked example
1 ° = 1.11111111111 gon. For another value, apply the same relationship and round only to the precision your source measurement supports.
When to use it
Good uses
- Read a ° measurement in a document that expects gon.
- Compare a degrees value with a value reported in gradians.
- Check the °-to-gon arithmetic before copying the result into another calculation.
Limitations
Common mistakes to avoid
- Do not confuse ° with another unit that has a similar name or symbol.
- Round the output to a precision justified by the original measurement.
- Verify safety-critical, regulated, laboratory, and contractual conversions against the controlling standard.
Sources and further reading
These references explain the underlying standards or provide authoritative context. Your own contract, institution, clinician, product documentation, local code, or governing standard may be the controlling source.
Guidance on unit names, symbols, conversions, and numerical presentation.
Questions about this calculation
How do I convert Degrees to Gradians?
result = input × 0.017453292519943295 ÷ 0.015707963267948967 Using the displayed relationship, 1 ° equals 1.11111111111 gon.
How many Gradians are in one Degrees?
One Degrees is 1.11111111111 Gradians. The displayed digits may be rounded.
Can I reverse the ° to gon conversion?
Yes. Swap the source and target units in the converter. The reverse relationship converts gon back to °.
Is the Degrees to Gradians result exact?
The conversion follows the displayed unit relationship. Display rounding can hide additional digits, and measured inputs cannot become more accurate merely by changing units.