Gradians to Arcminutes
Convert gradians to arcminutes instantly — one gradian is 54 arcminutes.
| Gradians | Arcminutes |
|---|---|
| 1 grad | 54 ′ |
| 2 grad | 108 ′ |
| 3 grad | 162 ′ |
| 5 grad | 270 ′ |
| 10 grad | 540 ′ |
| 25 grad | 1350 ′ |
| 50 grad | 2700 ′ |
| 100 grad | 5400 ′ |
How to use
- Enter a value in the Gradians field.
- The Arcminutes figure appears immediately — no button to press.
- Typing in the Arcminutes field converts back to Gradians the same way.
- Use the reference table for the values that come up most often.
Gradians to Arcminutes formula
To convert gradians to arcminutes, multiply by 54.
′ = grad × 54
Put another way, one gradian is exactly 54 arcminutes.
Why this factor: the gradian and the arcminute are both defined against the degree, so dividing one definition by the other gives 54 directly. Both definitions are set out in full below.
To go the other way, divide by 54 — or use the Arcminutes to Gradians converter, which is the same calculation reversed.
Worked example
Given 90 grad, multiplying by 54 yields 4860 ′.
90 grad × 54 = 4860 ′
The converter above does this for any value you type, in either direction.
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.
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.
Gradians vs Arcminutes
The gradian and the arcminute 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 arcminutes are in a gradian?
One gradian equals 54 arcminutes.
What is the formula to convert gradians to arcminutes?
Multiply the number of gradians by 54. To reverse it, divide by 54 instead.
How do I convert arcminutes back to gradians?
Divide by 54, which is the same as multiplying by 0.0185185185.
How many arcminutes are in 10 gradians?
10 grad works out to 540 ′.
How is the gradian defined?
A full turn is 400 gradians, so one gradian is exactly 0.9 degree.