Convert Gradians to Revolutions (gon to rev)
1 gradian (gon) = 0.0025 revolutions (rev). 1 rev = 400 gon. Example: 15 gon = 15 × 0.0025 = 0.0375 rev.
Also searched as gradians to rev, gradians in rev, gradians into revolutions, gon to rev, gon in revolutions, gon into revolution, gradian to revolution, gon to revolutions converter and how many revolutions in a gradian.
1 gon = 0.0025 rev
Type in either box. Scientific notation works: 1.5e-3.
Converting a list? Use the bulk gradian to revolution converter to paste a column from Excel.
How to Convert Gradian to Revolution
- 1 gon = 0.0025 rev
- 1 rev = 400 gon
- Example: convert 15 gon to rev: 15 gon = 15 × 0.0025 rev = 0.0375 rev
Formula
rev = gon × 0.0025
or rev = gon ÷ 400
Derivation from SI units:
- 1 gon = π/200 rad; a right angle is 100 gon and a full turn 400 gon.
- 1 revolution = 2π rad = 360°.
- 1 gon = 0.01570796326795 rad ÷ 6.28318530718 rad per rev = 0.0025 rev
Both units are defined exactly, so the factor is exact. Gradian definition: gradian; Revolution definition: revolution.
Worked examples
- A reading of 50 gon converts to 0.125 rev.
50 gon × 0.0025 = 0.125 rev - A value of 200 gon is 0.5 rev.
200 gon × 0.0025 = 0.5 rev
Gradian to Revolution conversion table
| Gradians (gon) | Revolutions (rev) |
|---|---|
| 1 gon | 0.0025 rev |
| 10 gon | 0.025 rev |
| 25 gon | 0.0625 rev |
| 50 gon | 0.125 rev |
| 100 gon | 0.25 rev |
| 150 gon | 0.375 rev |
| 200 gon | 0.5 rev |
| 300 gon | 0.75 rev |
| 400 gon | 1 rev |
| 0.5 gon | 0.00125 rev |
Where it's used
Gradians are used for land surveying in Europe, while revolutions appear in rotating machinery (rpm). Both measure plane angle, so the conversion is a fixed factor.
Gradian to other angle units
| Conversion | 1 gon equals |
|---|---|
| gradian to revolution | 0.0025 rev |
| gradian to radian | 0.01570796327 rad |
| gradian to degree | 0.9 ° |
| gradian to minute of arc | 54 ′ |
| gradian to second of arc | 3240 ″ |
Frequently asked questions
How many revolutions are in 1 gradian?
1 gon = 0.0025 rev.
How do I convert gradians to revolutions?
Multiply the value in gon by 0.0025, or divide it by 400. For example, 15 gon × 0.0025 = 0.0375 rev.
Is the gon to rev conversion exact?
Yes. Both units are defined exactly, so the ratio is exact; its decimal form does not terminate and is shown here to 10 significant figures (more with the precision selector).
Sources
- Guide for the Use of the International System of Units (SI), NIST Special Publication 811, 2008 Edition, National Institute of Standards and Technology , Appendix B.8, "grad".
- The International System of Units (SI), 9th edition (SI Brochure), Bureau International des Poids et Mesures , Table 4 (radian) and Table 8 (non-SI units accepted for use with the SI).
Last reviewed: . Factors are stored exactly and computed with 50-digit decimal arithmetic. See how we verify conversion factors.
Cite this page
APA
Scientific Converters. (2026, October 15). Convert Gradians to Revolutions (gon to rev). Retrieved October 25, 2026, from https://scientificconverters.com/angle/gradians-to-revolutions/
IEEE
Scientific Converters, "Convert Gradians to Revolutions (gon to rev)," scientificconverters.com. Accessed: Oct. 25, 2026. [Online]. Available: https://scientificconverters.com/angle/gradians-to-revolutions/