Radians to Arcminutes Converter
Enter a value to instantly convert between angle units.
1 Radian = 3437.7468 Arcminute
Key Formulas
Degree → Radian
rad = ° × 0.0174533Radian → Degree
° = rad × 57.2958Degree → Gradian
grad = ° × 1.11111Gradian → Degree
° = grad × 0.9Formula
arcminutes = radians × 3437.7467708Celestial mechanics, orbital dynamics, and satellite navigation software produce angular results in radians. Star catalogs, telescope pointing systems, and nautical charts use degrees-minutes (DM) or degrees-minutes-seconds (DMS) notation. A mission analyst computing a spacecraft's angular deviation from a reference orbit in radians must convert to arcminutes when reporting to the navigation team who work with DMS coordinates. The large conversion factor (1 radian ≈ 3,438 arcminutes) reflects how broad a radian is compared to the fine precision of arcminute-based measurement.
Source: ISO 80000-3:2019 (Quantities and units — Space and time)
Last reviewed: · see our methodology
Frequently Asked Questions
Real-World Examples
One arcminute — 0.000291 radians, the smallest angular step a traditional sextant can reliably resolve at sea.
0.000291 rad = 1 ′
One radian — 3,437.75 arcminutes (≈ 57.3°), the conversion reference when a physics formula result needs to be entered into a navigation system.
1 rad = 3437.75 ′
π/2 radians (right angle) — 5,400 arcminutes = 90°, a useful sanity check confirming the formula gives 90 × 60 = 5,400.
1.5708 rad = 5400 ′
A 0.01 radian orbit inclination error — 34.38 arcminutes, expressed for the trajectory team's DMS-based error budget analysis.
0.01 rad = 34.38 ′