Arcminutes to Radians Converter
Enter a value to instantly convert between angle units.
1 Arcminute = 0.0003 Radian
Key Formulas
Degree → Radian
rad = ° × 0.0174533Radian → Degree
° = rad × 57.2958Degree → Gradian
grad = ° × 1.11111Gradian → Degree
° = grad × 0.9Formula
radians = arcminutes × 0.0002908882Celestial navigation algorithms, geodetic adjustment software, and orbital mechanics computations all work in radians. But the source data — star catalog declinations, surveying traverses, GPS coordinate differences — is often expressed in arcminutes. A spacecraft attitude control system that receives star-tracker measurements in arcminutes converts them to radians before feeding the Kalman filter. A GIS analyst computing great-circle distances from arcminute-precision coordinate differences needs the radian form.
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 typical pointing accuracy requirement for an amateur star-tracker feeding an astrophotography mount.
1 ′ = 0.000291 rad
60 arcminutes (1°) — π/180 ≈ 0.01745 radians. The conversion verifies consistency: 1 arcminute × 60 = 1 degree in radians.
60 ′ = 0.017453 rad
45 arcminutes (0.75°) — used in a satellite antenna pointing calculation that requires radian inputs for the beam-width formula.
45 ′ = 0.01309 rad
Two arcminutes of telescope alignment error — 0.000582 radians, or 0.58 mm per metre of focal length, helping assess whether re-collimation is needed.
2 ′ = 0.000582 rad