Turns to Gradians
1 Turn = 400 Gradians · fixed factor via exact radian-based angle definitions · no offset
Direct Answer
1 Turn equals 400 Gradians
This conversion uses a fixed factor based on exact radian-based angle definitions.
For 0.1 Turns, the result equals 40 Gradians.
Converter Calculator
400 Gradians (grad)
SwitchExplanation
Formula: Gradians = Turns × 400. Why: turns represent full revolutions, so the calculator normalizes through radians and preserves the exact relationship 1 turn = 2pi radians.
Turns (turn): a full-revolution angle unit where 1 turn equals 360 degrees or 2pi radians.
Gradians (grad): a plane-angle unit where a right angle equals 100 gradians and a full turn equals 400 gradians.
This route is useful when restating angular motion or rotational positions between full-turn notation and conventional degree, radian, or gradian scales.
This conversion is purely multiplicative because both units reduce through radians using exact plane-angle definitions with no offset.
Common Conversion Values
| Turns (turn) | Gradians (grad) |
|---|---|
| 0.1 | 40 |
| 1 | 400 |
| 5 | 2,000 |
| 10 | 4,000 |
| 45 | 18,000 |
| 90 | 36,000 |
| 180 | 72,000 |
| 360 | 144,000 |
Frequently Asked Questions
How is Turns to Gradians calculated?
The factor is derived through exact radian normalization, using pi-based relationships between degrees, gradians, turns, and radians.
Is there a reverse page for Gradians to Turns?
Yes. Use the mirror Gradians to Turns page to apply the inverse relationship with the same exact angle definitions.
How many degrees are in one full turn?
One turn is exactly 360 degrees, or 2pi radians, so turn routes stay tied to the same exact plane-angle definitions.