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