Radian to Arc Minute Converter
Angle · unit-converter
Convert Radian to Arc Minute with a fixed input and output unit, step-by-step formula line, and reference tables. All calculations bridge through radians with fixed definitions (360° per turn, 400 grad per turn, 60′ per degree, 60″ per minute, plus practical units like MOA, urad, and NATO 6400 mils per turn).
About Radian
The radian is the SI unit of plane angle. One radian is the angle subtended by an arc equal to the radius; 2π rad = one full circle.
About Arc Minute
An arc minute is 1/60 of a degree (π/10,800 rad). Used in astronomy, navigation, and precision optics (MOA).
How to convert radians to arc minutes
1 radian equals 3437.7467707849396 arc minute in this tool (via radian):
1 rad = (1 rad ÷ 0.0002908882086657216 rad) arcmin = 3437.7467707849396 arcmin
Each radian carries 1 rad and each arc minute 0.0002908882086657216 rad, so one rad equals 1 ÷ 0.0002908882086657216 arcmin.
Let θ(rad) be the angle in Radian (rad), and θ(arcmin) in Arc Minute (arcmin). Then:
θ(arcmin) = θ(rad) × (1 / 0.0002908882086657216)
Equivalently, divide by how many rad fit into one arcmin (rad per arcmin divided by rad per rad):
θ(arcmin) = θ(rad) ÷ 0.0002908882086657216
Examples
Example #1: Convert 1 rad to arc minute
1 rad = 1 rad × (1/0.0002908882086657216) arcmin = 3437.74677078 arcmin
1 rad = 1 rad ÷ 0.0002908882086657216 = 3437.74677078 arcmin
1 rad × (1/0.0002908882086657216) = 3,437.746771 arcmin
Example #2: Convert 10 rad to arc minute
10 rad = 10 rad × (1/0.0002908882086657216) arcmin = 34377.4677078 arcmin
10 rad = 10 rad ÷ 0.0002908882086657216 = 34377.4677078 arcmin
10 rad × (1/0.0002908882086657216) = 34,377.467708 arcmin
Summary
To convert Radian to Arc Minute, multiply the value in rad by (1 rad per rad) / (0.0002908882086657216 rad per arcmin). Equivalently: value_arcmin = value_rad × (1 / 0.0002908882086657216). Numerically, 1 rad equals 3437.7467707849396 arcmin.
Relationship context
Both Radian and Arc Minute are converted by fixed multiples of the radian. Multiplying by (rad per rad) ÷ (rad per arcmin) matches passing through radians, keeping degrees, gradians, arc minutes, NATO mils, and revolutions consistent on the hub.
Conversion tables
| Radian (rad) | Arc Minute (arcmin) |
|---|---|
| 0.1 | 343.774677078 |
| 1 | 3,437.74677078 |
| 2 | 6,875.49354157 |
| 3 | 10,313.2403124 |
| 4 | 13,750.9870831 |
| 5 | 17,188.7338539 |
| 6 | 20,626.4806247 |
| 7 | 24,064.2273955 |
| 8 | 27,501.9741663 |
| 9 | 30,939.7209371 |
| Radian (rad) | Arc Minute (arcmin) |
|---|---|
| 10 | 34,377.4677078 |
| 20 | 68,754.9354157 |
| 30 | 103,132.403124 |
| 40 | 137,509.870831 |
| 50 | 171,887.338539 |
| 60 | 206,264.806247 |
| 70 | 240,642.273955 |
| 80 | 275,019.741663 |
| 90 | 309,397.209371 |
| 100 | 343,774.677078 |