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Angle
Turns to Gradians
Convert turns (tr) to gradians (gon). Type a value below to see the result update instantly. Reference table and formula included.
Calculator
1 tr = 400 gon
Turns to Gradians Conversion Table
Common values, ready to copy:
| turns | gradians |
|---|---|
| 1 tr | 400 gon |
| 2 tr | 800 gon |
| 5 tr | 2000 gon |
| 10 tr | 4000 gon |
| 25 tr | 10000 gon |
| 50 tr | 20000 gon |
| 100 tr | 40000 gon |
| 1,000 tr | 400000 gon |
Formula
gradians = turns × 400
Angles are ratios, not absolute quantities, so the conversion factors are exact. 1 full turn = 360° = 2π rad ≈ 6.2832 rad = 400 gon. 1° = 60 arcminutes = 3,600 arcseconds.
About Turns and Gradians
Turns (tr): A full revolution; the most natural way to describe rotation (one turn = 360° = 2π rad = 400 gon). Common uses: Engineering specifications for rotation (number of turns of a bolt, a screw thread, or a knob), and clear communication when degree confusion is a risk.
Gradians (gon): 1/400 of a full turn; introduced in revolutionary France as a metric-style angle unit (100 gradians = right angle). Common uses: Surveying in some European countries, some scientific calculators have a 'GRAD' mode, mostly historical interest elsewhere.
How the conversion works
Angles are ratios, not absolute quantities, so the conversion factors are exact. 1 full turn = 360° = 2π rad ≈ 6.2832 rad = 400 gon. 1° = 60 arcminutes = 3,600 arcseconds.
The exact relationship is gradians = turns × 400, which the calculator at the top of this page applies in both directions. Type into either field and the other updates immediately.
When this conversion matters
Converting between turns and gradians comes up wherever angle measurements move between systems — from one country's conventions to another's, from a scientific reference to a practical specification, or from one industry's working unit to another's. The calculator and reference table above cover the everyday range; for unusual values you can type any number into either field.