Authoritative definitions of the International System of Units and SI prefixes.
Dedicated unit pair
Gradians to Degrees
Convert gon to ° instantly, then review the formula, assumptions, and rounding guidance.
AngleInstant result
Decimals
Formula result = input × 0.015707963267948967 ÷ 0.017453292519943295. 1 gon = 0.9 °
Common examples
One value, several units
Radians0.0157 rad
Degrees0.9 °
Turns0.0025 turn
Arcminutes54 ′
Arcseconds3,240 ″
Conversion table
| gon | ° |
|---|---|
| 1 gon | 0.9 ° |
| 2 gon | 1.8 ° |
| 5 gon | 4.5 ° |
| 10 gon | 9 ° |
| 25 gon | 22.5 ° |
| 50 gon | 45 ° |
| 100 gon | 90 ° |
Conversion chart
1 gon0.9 °
5 gon4.5 °
10 gon9 °
25 gon22.5 °
50 gon45 °
Worked example
A full turn is 360 degrees or 2π radians.
Unit definition
Gradians (gon) One gradians equals 0.0157079632679 radian.
Unit history
Gradians 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 gon to radian.
3. Convert the base value to ° and apply your display precision.
Understand the result before using it
Gradians to Degrees converts a value measured in Gradians (gon) into the equivalent value in Degrees (°). 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 × 0.015707963267948967 ÷ 0.017453292519943295
Assumptions
- Gradians and Degrees represent the same angle quantity.
- The input is expressed in gon; the output is expressed in °.
- The unit definitions and conventional relationship shown on this page apply.
Worked example
1 gon = 0.9 °. 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 gon measurement in a document that expects °.
- Compare a gradians value with a value reported in degrees.
- Check the gon-to-° arithmetic before copying the result into another calculation.
Limitations
Common mistakes to avoid
- Do not confuse gon 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 Gradians to Degrees?
result = input × 0.015707963267948967 ÷ 0.017453292519943295 Using the displayed relationship, 1 gon equals 0.9 °.
How many Degrees are in one Gradians?
One Gradians is 0.9 Degrees. The displayed digits may be rounded.
Can I reverse the gon to ° conversion?
Yes. Swap the source and target units in the converter. The reverse relationship converts ° back to gon.
Is the Gradians to Degrees 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.