Degrees to Arcminutes Converter
Enter a value to instantly convert between angle units.
1 Degree = 60 Arcminute
Key Formulas
Degree → Radian
rad = ° × 0.0174533Radian → Degree
° = rad × 57.2958Degree → Gradian
grad = ° × 1.11111Gradian → Degree
° = grad × 0.9Formula
arcminutes = degrees × 60GPS receivers, nautical charts, and aviation waypoints all use the degrees-minutes format (DD°MM.mmm′) because it expresses position more precisely without long decimal strings. A navigator plotting a position at 40.75° latitude converts the decimal portion to 0.75 × 60 = 45 arcminutes, writing 40°45′N on the chart. Astronomers pointing a telescope to a specific declination do the same calculation thousands of times in an observing session.
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 basis of all DMS notation. At the equator, 1 arcminute of latitude ≈ 1.85 km (the origin of the nautical mile).
1 ° = 60 ′
Half a degree of longitude — 30 arcminutes, a common waypoint boundary on sectional aviation charts.
0.5 ° = 30 ′
New York City's approximate latitude (40.7589°) — the arcminute value for a precise GPS fix entered in DM format as 40°45.534′N.
40.7589 ° = 2445.534 ′
One arcminute of declination — the resolution a telescope must achieve to accurately point at a target 1 arcminute from its calibration star.
0.0167 ° = 1 ′