Arcminutes to Degrees Converter
Enter a value to instantly convert between angle units.
1 Arcminute = 0.0167 Degree
Key Formulas
Degree → Radian
rad = ° × 0.0174533Radian → Degree
° = rad × 57.2958Degree → Gradian
grad = ° × 1.11111Gradian → Degree
° = grad × 0.9Formula
degrees = arcminutes ÷ 60GPS receivers, star charts, and historical land surveys record positions in degrees and arcminutes (or full DMS notation). Modern GIS software, coordinate calculations, and trig formulas all expect decimal degrees. A position of 40°26′45″N must become 40.446° before being entered into a mapping API, a geodetic formula, or a database that stores decimal degrees. Surveyors and navigators doing this conversion are normalizing measurements for computation.
Source: ISO 80000-3:2019 (Quantities and units — Space and time)
Last reviewed: · see our methodology
Frequently Asked Questions
Real-World Examples
One full degree — 60 arcminutes, the base conversion confirming that 1′ = 1/60°.
60 ′ = 1 °
The decimal-minute portion of New York City's latitude (40°26.766′N) — converts to 0.4461° for entry as 40.4461° decimal degree.
26.766 ′ = 0.4461 °
30 arcminutes (half a degree) — a common waypoint rounding boundary on aviation sectional charts.
30 ′ = 0.5 °
One arcminute — 0.01667°, equivalent to approximately 1.85 km at the equator (the origin of the nautical mile definition).
1 ′ = 0.01667 °