Gradians to Arcminutes Converter
Enter a value to instantly convert between angle units.
1 Gradian = 54 Arcminute
Key Formulas
Degree → Radian
rad = ° × 0.0174533Radian → Degree
° = rad × 57.2958Degree → Gradian
grad = ° × 1.11111Gradian → Degree
° = grad × 0.9Formula
arcminutes = gradians × 54European surveyors record site bearings in gradians; nautical and aviation charts express bearings in degrees-minutes (DM) or degrees-minutes-seconds (DMS). When a land surveyor must supply bearing data to a shipping channel authority or an airport authority that works in DMS, every gradian bearing must become arcminutes. The factor 54 comes from 60 arcminutes per degree × 0.9 degrees per gradian.
Source: ISO 80000-3:2019 (Quantities and units — Space and time)
Last reviewed: · see our methodology
Frequently Asked Questions
Real-World Examples
One gradian — 54 arcminutes (= 0.9°). The anchor conversion value for gradian-to-arcminute work.
1 grad = 54 ′
A right angle (100 grad) — 5,400 arcminutes = 90°, confirming the perpendicular in a DMS-format surveying record.
100 grad = 5400 ′
A 5 grad bearing reading — 270 arcminutes = 4°30′, entered as '4 degrees, 30 minutes' in a navigation chart.
5 grad = 270 ′
A half-grad adjustment — 27 arcminutes, a fine correction entered into a DMS-format theodolite calibration record.
0.5 grad = 27 ′