How to convert arcminutes to gradians
gon = ′ × 0.01851851852Because one gradian equals 54 arcminutes, you can also divide: gon = ′ ÷ 54.
An arcminute is smaller than a gradian: it takes 54 arcminutes to make one gradian.
Worked examples
- 1 arcminute1 ′ × 0.01851851852 = 0.01851851852 gon
- 5 arcminutes5 ′ × 0.01851851852 = 0.09259259259 gon
- 10 arcminutes10 ′ × 0.01851851852 = 0.1851851852 gon
- 20 arcminutes20 ′ × 0.01851851852 = 0.3703703704 gon
- 100 arcminutes100 ′ × 0.01851851852 = 1.851851852 gon
Arcminutes to gradians conversion table
Values are calculated by the conversion engine and rounded to 8 significant figures.
| Arcminutes (′) | Gradians (gon) |
|---|---|
| 0.1 ′ | 0.0018518519 gon |
| 0.25 ′ | 0.0046296296 gon |
| 0.5 ′ | 0.0092592593 gon |
| 1 ′ | 0.018518519 gon |
| 2 ′ | 0.037037037 gon |
| 3 ′ | 0.055555556 gon |
| 4 ′ | 0.074074074 gon |
| 5 ′ | 0.092592593 gon |
| 6 ′ | 0.11111111 gon |
| 7 ′ | 0.12962963 gon |
| 8 ′ | 0.14814815 gon |
| 9 ′ | 0.16666667 gon |
| 10 ′ | 0.18518519 gon |
| Arcminutes (′) | Gradians (gon) |
|---|---|
| 12 ′ | 0.22222222 gon |
| 15 ′ | 0.27777778 gon |
| 20 ′ | 0.37037037 gon |
| 25 ′ | 0.46296296 gon |
| 30 ′ | 0.55555556 gon |
| 40 ′ | 0.74074074 gon |
| 50 ′ | 0.92592593 gon |
| 75 ′ | 1.3888889 gon |
| 100 ′ | 1.8518519 gon |
| 250 ′ | 4.6296296 gon |
| 500 ′ | 9.2592593 gon |
| 1,000 ′ | 18.518519 gon |
About the units
Arcminute (′)
One sixtieth of a degree. Rifle-scope adjustments are often given in MOA (minutes of angle). One arcminute equals 0.0002908882087 radians (rad).
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).
Frequently asked questions
How many gradians are in one arcminute?
There are 0.01851851852 gradians in one arcminute, and this value is exact by definition.
How do I convert arcminutes to gradians?
Multiply the number of arcminutes by 0.01851851852. For example, 10 ′ × 0.01851851852 = 0.1851851852 gon.
How many arcminutes are in one gradian?
One gradian equals 54 arcminutes. That is the reverse factor, 1 ÷ 0.01851851852.
What is 10 arcminutes in gradians?
10 ′ = 0.1851851852 gon.
Is this ′ to gon 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.