Arc Minute to Quadrant Converter
Angle · unit-converter
Convert Arc Minute to Quadrant 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 Arc Minute
An arc minute is 1/60 of a degree (π/10,800 rad). Used in astronomy, navigation, and precision optics (MOA).
About Quadrant
A quadrant is one quarter-turn: 90° or π/2 radians. It is useful in geometric and directional notation.
How to convert arc minutes to quadrants
1 arc minute equals 0.00018518518518518518 quadrant in this tool (via radian):
1 arcmin = (0.0002908882086657216 rad ÷ 1.5707963267948966 rad) quadrant = 0.00018518518518518518 quadrant
Each arc minute carries 0.0002908882086657216 rad and each quadrant 1.5707963267948966 rad, so one arcmin equals 0.0002908882086657216 ÷ 1.5707963267948966 quadrant.
Let θ(arcmin) be the angle in Arc Minute (arcmin), and θ(quadrant) in Quadrant (quadrant). Then:
θ(quadrant) = θ(arcmin) × (0.0002908882086657216 / 1.5707963267948966)
Equivalently, divide by how many arcmin fit into one quadrant (rad per quadrant divided by rad per arcmin):
θ(quadrant) = θ(arcmin) ÷ 5400
Examples
Example #1: Convert 1 arcmin to quadrant
1 arcmin = 1 arcmin × (0.0002908882086657216/1.5707963267948966) quadrant = 0.0001851852 quadrant
1 arcmin = 1 arcmin ÷ 5400 = 0.0001851852 quadrant
1 arcmin × (0.0002908882086657216/1.5707963267948966) = 0.000185 quadrant
Example #2: Convert 10 arcmin to quadrant
10 arcmin = 10 arcmin × (0.0002908882086657216/1.5707963267948966) quadrant = 0.0018518519 quadrant
10 arcmin = 10 arcmin ÷ 5400 = 0.0018518519 quadrant
10 arcmin × (0.0002908882086657216/1.5707963267948966) = 0.001852 quadrant
Summary
To convert Arc Minute to Quadrant, multiply the value in arcmin by (0.0002908882086657216 rad per arcmin) / (1.5707963267948966 rad per quadrant). Equivalently: value_quadrant = value_arcmin × (0.0002908882086657216 / 1.5707963267948966). Numerically, 1 arcmin equals 0.00018518518518518518 quadrant.
Relationship context
Both Arc Minute and Quadrant are converted by fixed multiples of the radian. Multiplying by (rad per arcmin) ÷ (rad per quadrant) matches passing through radians, keeping degrees, gradians, arc minutes, NATO mils, and revolutions consistent on the hub.
Conversion tables
| Arc Minute (arcmin) | Quadrant (quadrant) |
|---|---|
| 0.1 | 0.0000185185 |
| 1 | 0.0001851852 |
| 2 | 0.0003703704 |
| 3 | 0.0005555556 |
| 4 | 0.0007407407 |
| 5 | 0.0009259259 |
| 6 | 0.0011111111 |
| 7 | 0.0012962963 |
| 8 | 0.0014814815 |
| 9 | 0.0016666667 |
| Arc Minute (arcmin) | Quadrant (quadrant) |
|---|---|
| 10 | 0.0018518519 |
| 20 | 0.0037037037 |
| 30 | 0.0055555556 |
| 40 | 0.0074074074 |
| 50 | 0.0092592593 |
| 60 | 0.0111111111 |
| 70 | 0.012962963 |
| 80 | 0.0148148148 |
| 90 | 0.0166666667 |
| 100 | 0.0185185185 |