Convert Turns to Gradians
1 turn is 400 gon. One turn is exactly 400 gradians.
One turn is 400 gradians. To convert turns to gradians, multiply by 400; to go the other way, divide by 400 or multiply by 0.0025. The factor is exact rather than rounded: it follows from NIST Special Publication 811. One full revolution — 360 degrees, 400 gradians, 2π radians.
Factor checked against the defining standard · How we check
- Turns × 400
1 * 400400 gon
1 turn in every angle unit
| Unit | Value | Exact factor |
|---|---|---|
| radians | 6.283185307 rad | × 6.28318530718 |
| degrees | 360 ° | × 360 |
| gradians | 400 gon | × 400 |
| arcminutes | 21,600 ′ | × 21,600 |
| arcseconds | 1,296,000 ″ | × 1,296,000 |
| turns (as entered) | 1 turn | — |
| milliradians | 6,283.185307 mrad | × 6,283.18530718 |
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 turns to gradians? The converter and the working
- 1.Take the measurement in turns.
- 2.Multiply by 400 — that is how many gradians fit in one turn.
- 3.To go back the other way, divide by 400, or multiply by 0.0025.
Worked example: 25 turns to gradians
- Formula
- turn × 400 = gon
- Arithmetic
- 25 × 400 = 10,000 gon
- Answer
- 25 turn = 10,000 gon
The factor is exact, so this figure is exact too — only the display is rounded.
Turns to gradians conversion table
| Turns | Gradians |
|---|---|
| 1 turn | 400 gon |
| 2 turn | 800 gon |
| 3 turn | 1,200 gon |
| 4 turn | 1,600 gon |
| 5 turn | 2,000 gon |
| 6 turn | 2,400 gon |
| 7 turn | 2,800 gon |
| 8 turn | 3,200 gon |
| 9 turn | 3,600 gon |
| 10 turn | 4,000 gon |
| 12 turn | 4,800 gon |
| 15 turn | 6,000 gon |
| 20 turn | 8,000 gon |
| 25 turn | 10,000 gon |
| 50 turn | 20,000 gon |
| 100 turn | 40,000 gon |
| 200 turn | 80,000 gon |
| 300 turn | 120,000 gon |
| 500 turn | 200,000 gon |
| 1000 turn | 400,000 gon |
| 2000 turn | 800,000 gon |
| 5000 turn | 2,000,000 gon |
| 10000 turn | 4,000,000 gon |
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.
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.
How many gradians are in a turn?
One turn is 400 gradians, exactly. Going the other way, one gradian is 0.0025 turns. 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 turn.
Source: NIST Special Publication 811 — the radian, and units accepted for use with the SI
Cite this page
- APA
- Rule Calculator. (2026). Convert Turns to gradians. Rule Calculator. https://rulecalculators.com/convert/turn-to-gradian
- MLA
- "Convert Turns to gradians." Rule Calculator, August 16, 2026, https://rulecalculators.com/convert/turn-to-gradian.
- Chicago
- Rule Calculator. "Convert Turns to gradians." Rule Calculator. Last reviewed August 16, 2026. https://rulecalculators.com/convert/turn-to-gradian.
The date is when the figures on this page were last checked against their source, not the day you opened it. Add your own access date if your style needs one.
Questions people actually ask
- How many gradians are in a turn?
- 400. 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.
- How do I convert gradians back to turns?
- Divide by 400, or multiply by 0.0025 — they are the same operation.
Other angle conversions
Gradians to turns — the same conversion the other way.