Turns to Gradians
An instant turns-to-gradians converter, with the formula and a reference table below.
| Turns | Gradians |
|---|---|
| 1 turn | 400 grad |
| 2 turn | 800 grad |
| 3 turn | 1200 grad |
| 5 turn | 2000 grad |
| 10 turn | 4000 grad |
| 25 turn | 10000 grad |
| 50 turn | 20000 grad |
| 100 turn | 40000 grad |
How to use
- Enter a value in the Turns field.
- The Gradians figure appears immediately — no button to press.
- Typing in the Gradians field converts back to Turns the same way.
- Use the reference table for the values that come up most often.
Turns to Gradians formula
The factor from turns to gradians is 400.
grad = turn × 400
Put another way, one turn is exactly 400 gradians.
Why this factor: the turn and the gradian are both defined against the degree, so dividing one definition by the other gives 400 directly. Both definitions are set out in full below.
To go the other way, divide by 400 — or use the Gradians to Turns converter, which is the same calculation reversed.
Worked example
Take 45 turn and multiply by the factor 400: the result is 18000 grad.
45 turn × 400 = 18000 grad
The converter above does this for any value you type, in either direction.
What is a turn?
A turn is one complete revolution — a full circle.
Definition: Exactly 360 degrees, or 2π radians.
Where it is used: Rotational counting, gear and pulley ratios, and coil and winding specifications.
What is a gradian?
A gradian, or gon, divides a right angle into 100 parts instead of 90.
Definition: A full turn is 400 gradians, so one gradian is exactly 0.9 degree.
Where it is used: European surveying and civil engineering, and still a mode on most scientific calculators.
Turns vs Gradians
The turn and the gradian belong to the same family of units, so converting between them is usually a matter of shifting a decimal point or applying a small whole-number factor.
Frequently asked questions
How many gradians are in a turn?
One turn equals 400 gradians.
What is the formula to convert turns to gradians?
Multiply the number of turns by 400. To reverse it, divide by 400 instead.
How do I convert gradians back to turns?
Divide by 400, which is the same as multiplying by 0.0025.
How many gradians are in 10 turns?
10 turn works out to 4000 grad.
How is the turn defined?
Exactly 360 degrees, or 2π radians.