Gradians to Arcseconds Converter
Enter a value to instantly convert between angle units.
1 Gradian = 3240 Arcsecond
Key Formulas
Degree → Radian
rad = ° × 0.0174533Radian → Degree
° = rad × 57.2958Degree → Gradian
grad = ° × 1.11111Gradian → Degree
° = grad × 0.9Formula
arcseconds = gradians × 3240Geodetic surveys that require millimetre-level accuracy over large areas use arcseconds in their precision budgets and error analyses. When the survey instrument is calibrated in gradians but the geodetic reference network uses DMS with arcsecond precision, converting gradian measurements to arcseconds is the entry point for the adjustment computation. The 3,240 factor follows from 1 grad = 0.9° = 54′ = 3,240″.
Source: ISO 80000-3:2019 (Quantities and units — Space and time)
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Frequently Asked Questions
Real-World Examples
One gradian — 3,240 arcseconds (= 54 arcminutes = 0.9°). The anchor conversion for gradian-to-arcsecond work.
1 grad = 3240 ″
A right angle (100 grad) — 324,000 arcseconds = 90°, confirming the same value as 90 × 3,600 = 324,000 arcseconds.
100 grad = 324000 ″
A 0.1 grad precision threshold on a high-accuracy total station — 324 arcseconds, compared against the network's 5-arcsecond closure tolerance.
0.1 grad = 324 ″
A 10 grad angle in a precision geodetic survey — 32,400 arcseconds, expressed for entry into an arcsecond-based least-squares adjustment program.
10 grad = 32400 ″