Turns to Arcminutes Converter
Enter a value to instantly convert between angle units.
1 Turn = 21600 Arcminute
Key Formulas
Degree → Radian
rad = ° × 0.0174533Radian → Degree
° = rad × 57.2958Degree → Gradian
grad = ° × 1.11111Gradian → Degree
° = grad × 0.9Formula
arcminutes = turns × 21,600Telescope mounts and surveying instruments measure angles in degrees and arcminutes (the DMS system), while robotic arms and animation systems think in fractional turns. When aligning a telescope to a celestial coordinate, or when a robotic joint's position in turns needs to be expressed for GPS integration with surveying data, arcminutes provide a natural intermediate step. One complete turn = 21,600 arcminutes, and since each degree contains 60 arcminutes, a turn is precisely 360 degrees × 60 = 21,600 arcminutes.
Source: ISO 80000-3:2019 (Quantities and units — Space and time)
Last reviewed: · see our methodology
Frequently Asked Questions
Real-World Examples
A telescope mount configured to slew one quarter-turn (90°) to track an object passing through the sky. This corresponds to 5,400 arcminutes — 90 degrees × 60 arcminutes/degree.
0.25 tr = 5400 ′
A surveying instrument rotates a half-turn (180°, a complete reversal) when flipping from one sight line to the opposite bearing. That's 10,800 arcminutes, useful when comparing readings with stored survey data.
0.5 tr = 10800 ′
A robotic axis completes one full turn during a calibration cycle. In arcminutes, this is exactly 21,600, the count that confirms the axis has returned to its zero position.
1 tr = 21600 ′
A precision robotic joint moves one-sixth of a turn (60°) to a set position. Expressed in arcminutes, this is 3,600 — useful for cross-referencing with surveyed datum points.
0.1667 tr = 3600 ′