Arcminutes to Gradians
Convert arcminutes to gradians instantly — one arcminute is 0.0185185 gradians.
| Arcminutes | Gradians |
|---|---|
| 1 ′ | 0.018519 grad |
| 2 ′ | 0.037037 grad |
| 3 ′ | 0.055556 grad |
| 5 ′ | 0.092593 grad |
| 10 ′ | 0.185185 grad |
| 25 ′ | 0.462963 grad |
| 50 ′ | 0.925926 grad |
| 100 ′ | 1.851852 grad |
How to use
- Enter a value in the Arcminutes field.
- The Gradians figure appears immediately — no button to press.
- Typing in the Gradians field converts back to Arcminutes the same way.
- Use the reference table for the values that come up most often.
Arcminutes to Gradians formula
Converting arcminutes to gradians is a single multiplication by 0.0185185185.
grad = ′ × 0.0185185185
Put another way, one arcminute is exactly 1/54 of a gradian.
Why this factor: the arcminute and the gradian are both defined against the degree, so dividing one definition by the other gives 0.0185185185 directly. Both definitions are set out in full below.
To go the other way, divide by 0.0185185185 — or use the Gradians to Arcminutes converter, which is the same calculation reversed.
Worked example
Given 90 ′, multiplying by 0.0185185185 yields 1.666667 grad.
90 ′ × 0.0185185185 = 1.666667 grad
The converter above does this for any value you type, in either direction.
What is an arcminute?
An arcminute is one sixtieth of a degree, used where degrees are too coarse.
Definition: Exactly 1/60 degree. Symbol is the prime (′).
Where it is used: Navigation and latitude (one arcminute of latitude is one nautical mile), astronomy, and optometry.
What is a gradian?
A gradian, or gon, divides a right angle into 100 parts instead of 90.
Definition: A full turn is 400 gradians, so one gradian is exactly 0.9 degree.
Where it is used: European surveying and civil engineering, and still a mode on most scientific calculators.
Arcminutes vs Gradians
The arcminute and the gradian belong to the same family of units, so converting between them is usually a matter of shifting a decimal point or applying a small whole-number factor.
Frequently asked questions
How many gradians are in an arcminute?
One arcminute equals 0.0185185185 gradians.
What is the formula to convert arcminutes to gradians?
Multiply the number of arcminutes by 0.0185185185. To reverse it, divide by 0.0185185185 instead.
How do I convert gradians back to arcminutes?
Divide by 0.0185185185, which is the same as multiplying by 54.
How many gradians are in 10 arcminutes?
10 ′ works out to 0.185185 grad.
How is the arcminute defined?
Exactly 1/60 degree. Symbol is the prime (′).