How to convert gradians to turns
tr = gon × 0.0025Multiply the value in gradians by 0.0025. To go the other way, multiply by 400 (or divide by 0.0025).
A gradian is smaller than a turn: it takes 400 gradians to make one turn.
Worked examples
- 1 gradian1 gon × 0.0025 = 0.0025 tr
- 5 gradians5 gon × 0.0025 = 0.0125 tr
- 10 gradians10 gon × 0.0025 = 0.025 tr
- 20 gradians20 gon × 0.0025 = 0.05 tr
- 100 gradians100 gon × 0.0025 = 0.25 tr
Gradians to turns conversion table
Values are calculated by the conversion engine and rounded to 8 significant figures.
| Gradians (gon) | Turns (tr) |
|---|---|
| 0.1 gon | 0.00025 tr |
| 0.25 gon | 0.000625 tr |
| 0.5 gon | 0.00125 tr |
| 1 gon | 0.0025 tr |
| 2 gon | 0.005 tr |
| 3 gon | 0.0075 tr |
| 4 gon | 0.01 tr |
| 5 gon | 0.0125 tr |
| 6 gon | 0.015 tr |
| 7 gon | 0.0175 tr |
| 8 gon | 0.02 tr |
| 9 gon | 0.0225 tr |
| 10 gon | 0.025 tr |
| Gradians (gon) | Turns (tr) |
|---|---|
| 12 gon | 0.03 tr |
| 15 gon | 0.0375 tr |
| 20 gon | 0.05 tr |
| 25 gon | 0.0625 tr |
| 30 gon | 0.075 tr |
| 40 gon | 0.1 tr |
| 50 gon | 0.125 tr |
| 75 gon | 0.1875 tr |
| 100 gon | 0.25 tr |
| 250 gon | 0.625 tr |
| 500 gon | 1.25 tr |
| 1,000 gon | 2.5 tr |
About the units
Gradian (gon)
One 400th of a turn, so a right angle is 100 gon. Used in surveying in some countries. One gradian equals 0.01570796327 radians (rad).
Turn (tr)
The turn (tr) is a unit of angle. One turn equals 6.283185307 radians (rad).
Frequently asked questions
How many turns are in one gradian?
There are 0.0025 turns in one gradian, and this value is exact by definition.
How do I convert gradians to turns?
Multiply the number of gradians by 0.0025. For example, 10 gon × 0.0025 = 0.025 tr.
How many gradians are in one turn?
One turn equals 400 gradians. That is the reverse factor, 1 ÷ 0.0025.
What is 10 gradians in turns?
10 gon = 0.025 tr.
Is this gon to tr converter accurate?
Yes. Both units are defined exactly in terms of SI units, so the conversion factor is exact; results are shown to 12 significant figures by default and you can change precision in the converter. Calculations run in your browser using the same tested engine that generated this page.