Gradians to Turns
Type a value in either box to convert between gradians and turns. The factor is 0.0025.
| Gradians | Turns |
|---|---|
| 1 grad | 0.0025 turn |
| 2 grad | 0.005 turn |
| 3 grad | 0.0075 turn |
| 5 grad | 0.0125 turn |
| 10 grad | 0.025 turn |
| 25 grad | 0.0625 turn |
| 50 grad | 0.125 turn |
| 100 grad | 0.25 turn |
How to use
- Enter a value in the Gradians field.
- The Turns figure appears immediately — no button to press.
- Typing in the Turns field converts back to Gradians the same way.
- Use the reference table for the values that come up most often.
Gradians to Turns formula
The factor from gradians to turns is 0.0025.
turn = grad × 0.0025
Put another way, one gradian is exactly 1/400 of a turn.
Why this factor: the gradian and the turn are both defined against the degree, so dividing one definition by the other gives 0.0025 directly. Both definitions are set out in full below.
To go the other way, divide by 0.0025 — or use the Turns to Gradians converter, which is the same calculation reversed.
Worked example
Take 45 grad and multiply by the factor 0.0025: the result is 0.1125 turn.
45 grad × 0.0025 = 0.1125 turn
The converter above does this for any value you type, in either direction.
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.
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.
Gradians vs Turns
The gradian and the turn 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 turns are in a gradian?
One gradian equals 0.0025 turns.
What is the formula to convert gradians to turns?
Multiply the number of gradians by 0.0025. To reverse it, divide by 0.0025 instead.
How do I convert turns back to gradians?
Divide by 0.0025, which is the same as multiplying by 400.
How many turns are in 10 gradians?
10 grad works out to 0.025 turn.
How is the gradian defined?
A full turn is 400 gradians, so one gradian is exactly 0.9 degree.