Authoritative definitions of the International System of Units and SI prefixes.
Dedicated unit pair
Turns to Gradians
Convert turn to gon instantly, then review the formula, assumptions, and rounding guidance.
AngleInstant result
Decimals
Formula result = input × 6.283185307179586 ÷ 0.015707963267948967. 1 turn = 400 gon
Common examples
One value, several units
Radians6.2832 rad
Degrees360 °
Gradians400 gon
Arcminutes21,600 ′
Arcseconds1,296,000 ″
Conversion table
| turn | gon |
|---|---|
| 1 turn | 400 gon |
| 2 turn | 800 gon |
| 5 turn | 2,000 gon |
| 10 turn | 4,000 gon |
| 25 turn | 10,000 gon |
| 50 turn | 20,000 gon |
| 100 turn | 40,000 gon |
Conversion chart
1 turn400 gon
5 turn2,000 gon
10 turn4,000 gon
25 turn10,000 gon
50 turn20,000 gon
Worked example
A full turn is 360 degrees or 2π radians.
Unit definition
Turns (turn) One turns equals 6.28318530718 radian.
Unit history
Turns 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 turn to radian.
3. Convert the base value to gon and apply your display precision.
Understand the result before using it
Turns to Gradians converts a value measured in Turns (turn) 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 × 6.283185307179586 ÷ 0.015707963267948967
Assumptions
- Turns and Gradians represent the same angle quantity.
- The input is expressed in turn; the output is expressed in gon.
- The unit definitions and conventional relationship shown on this page apply.
Worked example
1 turn = 400 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 turn measurement in a document that expects gon.
- Compare a turns value with a value reported in gradians.
- Check the turn-to-gon arithmetic before copying the result into another calculation.
Limitations
Common mistakes to avoid
- Do not confuse turn 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 Turns to Gradians?
result = input × 6.283185307179586 ÷ 0.015707963267948967 Using the displayed relationship, 1 turn equals 400 gon.
How many Gradians are in one Turns?
One Turns is 400 Gradians. The displayed digits may be rounded.
Can I reverse the turn to gon conversion?
Yes. Swap the source and target units in the converter. The reverse relationship converts gon back to turn.
Is the Turns 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.