Minute of Angle (MOA) to Arc Minute Converter
Angle · unit-converter
Convert Minute of Angle (MOA) 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 Minute of Angle (MOA)
Minute of angle (MOA) equals one arc minute (1/60 degree). It is widely used in firearms optics and precision aiming.
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 minutes of angle (moa) to arc minutes
1 minute of angle (moa) equals 1 arc minute in this tool (via radian):
1 moa = (0.0002908882086657216 rad ÷ 0.0002908882086657216 rad) arcmin = 1 arcmin
Each minute of angle (moa) carries 0.0002908882086657216 rad and each arc minute 0.0002908882086657216 rad, so one moa equals 0.0002908882086657216 ÷ 0.0002908882086657216 arcmin.
Let θ(moa) be the angle in Minute of Angle (MOA) (moa), and θ(arcmin) in Arc Minute (arcmin). Then:
θ(arcmin) = θ(moa) × (0.0002908882086657216 / 0.0002908882086657216)
Equivalently, divide by how many moa fit into one arcmin (rad per arcmin divided by rad per moa):
θ(arcmin) = θ(moa) ÷ 1
Examples
Example #1: Convert 1 moa to arc minute
1 moa = 1 moa × (0.0002908882086657216/0.0002908882086657216) arcmin = 1 arcmin
1 moa = 1 moa ÷ 1 = 1 arcmin
1 moa × (0.0002908882086657216/0.0002908882086657216) = 1.000000 arcmin
Example #2: Convert 10 moa to arc minute
10 moa = 10 moa × (0.0002908882086657216/0.0002908882086657216) arcmin = 10 arcmin
10 moa = 10 moa ÷ 1 = 10 arcmin
10 moa × (0.0002908882086657216/0.0002908882086657216) = 10.000000 arcmin
Summary
To convert Minute of Angle (MOA) to Arc Minute, both units use the same radian factor (0.0002908882086657216 rad per unit) in this tool, so the numeric value is unchanged (1:1).
Relationship context
Both Minute of Angle (MOA) and Arc Minute are converted by fixed multiples of the radian. Multiplying by (rad per moa) ÷ (rad per arcmin) matches passing through radians, keeping degrees, gradians, arc minutes, NATO mils, and revolutions consistent on the hub.
Conversion tables
| Minute of Angle (MOA) (moa) | Arc Minute (arcmin) |
|---|---|
| 0.1 | 0.1 |
| 1 | 1 |
| 2 | 2 |
| 3 | 3 |
| 4 | 4 |
| 5 | 5 |
| 6 | 6 |
| 7 | 7 |
| 8 | 8 |
| 9 | 9 |
| Minute of Angle (MOA) (moa) | Arc Minute (arcmin) |
|---|---|
| 10 | 10 |
| 20 | 20 |
| 30 | 30 |
| 40 | 40 |
| 50 | 50 |
| 60 | 60 |
| 70 | 70 |
| 80 | 80 |
| 90 | 90 |
| 100 | 100 |