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Angle
Gradians to Turns
Convert gradians (gon) to turns (tr). Type a value below to see the result update instantly. Reference table and formula included.
Calculator
1 gon = 0.0025 tr
Gradians to Turns Conversion Table
Common values, ready to copy:
| gradians | turns |
|---|---|
| 1 gon | 0.0025 tr |
| 2 gon | 0.005 tr |
| 5 gon | 0.0125 tr |
| 10 gon | 0.025 tr |
| 25 gon | 0.0625 tr |
| 50 gon | 0.125 tr |
| 100 gon | 0.25 tr |
| 1,000 gon | 2.5 tr |
Formula
turns = gradians × 0.0025
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 Gradians and Turns
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.
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.
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 turns = gradians × 0.0025, 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 gradians and turns 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.