Convert Gradians to Turns
1 gradian is 0.0025 turn. One gradian is exactly 0.0025 turns.
One gradian is 0.0025 turns. To convert gradians to turns, multiply by 0.0025; to go the other way, divide by 0.0025 or multiply by 400. The factor is exact rather than rounded: it follows from NIST Special Publication 811. A 400th of a turn, so a right angle is exactly 100.
Factor checked against the defining standard · How we check
- Gradians × 0.0025
1 * 0.00250.003 turn
1 gradian in every angle unit
| Unit | Value | Exact factor |
|---|---|---|
| radians | 0.01570796327 rad | × 0.0157079632679 |
| degrees | 0.9 ° | × 0.9 |
| gradians (as entered) | 1 gon | — |
| arcminutes | 54 ′ | × 54 |
| arcseconds | 3,240 ″ | × 3,240 |
| turns | 0.0025 turn | × 0.0025 |
| milliradians | 15.70796327 mrad | × 15.7079632679 |
Factors are entered by hand from NIST Special Publication 811 rather than derived from a units library, so the ones that terminate are exact rather than rounded.
How do you convert gradians to turns? The converter and the working
- 1.Take the measurement in gradians.
- 2.Multiply by 0.0025 — that is how many turns fit in one gradian.
- 3.To go back the other way, divide by 0.0025, or multiply by 400.
Worked example: 25 gradians to turns
- Formula
- gon × 0.0025 = turn
- Arithmetic
- 25 × 0.0025 = 0.06 turn
- Answer
- 25 gon = 0.06 turn
The factor is exact, so this figure is exact too — only the display is rounded.
Gradians to turns conversion table
| Gradians | Turns |
|---|---|
| 1 gon | 0.0025 turn |
| 2 gon | 0.01 turn |
| 3 gon | 0.01 turn |
| 4 gon | 0.01 turn |
| 5 gon | 0.01 turn |
| 6 gon | 0.02 turn |
| 7 gon | 0.02 turn |
| 8 gon | 0.02 turn |
| 9 gon | 0.02 turn |
| 10 gon | 0.03 turn |
| 12 gon | 0.03 turn |
| 15 gon | 0.04 turn |
| 20 gon | 0.05 turn |
| 25 gon | 0.06 turn |
| 50 gon | 0.13 turn |
| 100 gon | 0.25 turn |
| 200 gon | 0.5 turn |
| 300 gon | 0.75 turn |
| 500 gon | 1.25 turn |
| 1000 gon | 2.5 turn |
| 2000 gon | 5 turn |
| 5000 gon | 12.5 turn |
| 10000 gon | 25 turn |
What is a gradian?
A 400th of a turn, so a right angle is exactly 100. Invented with the metric system and still used in European surveying and on calculators with a GRAD mode nobody means to press.
What is a turn?
One full revolution — 360 degrees, 400 gradians, 2π radians. Gear ratios, threads per turn and rotational counts are all stated in these.
How many turns are in a gradian?
One gradian is 0.0025 turns, exactly. Going the other way, one turn is 400 gradians. Both figures come from the same defined relation rather than from a measurement, which is why they are the same today as they were in 1959.
Every angle unit here
The whole group — 7 units with their symbols and the size of each one in radians — is on the conversion index, along with every pair it makes. The table above already gives each of them relative to a gradian.
Source: NIST Special Publication 811 — the radian, and units accepted for use with the SI
Cite this page
- APA
- Rule Calculator. (2026). Convert Gradians to turns. Rule Calculator. https://rulecalculators.com/convert/gradian-to-turn
- MLA
- "Convert Gradians to turns." Rule Calculator, August 16, 2026, https://rulecalculators.com/convert/gradian-to-turn.
- Chicago
- Rule Calculator. "Convert Gradians to turns." Rule Calculator. Last reviewed August 16, 2026. https://rulecalculators.com/convert/gradian-to-turn.
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Questions people actually ask
- How many turns are in a gradian?
- 0.0025. One full revolution — 360 degrees, 400 gradians, 2π radians. Gear ratios, threads per turn and rotational counts are all stated in these.
- How do I convert turns back to gradians?
- Divide by 0.0025, or multiply by 400 — they are the same operation.
Other angle conversions
Turns to gradians — the same conversion the other way.