Minute of Angle (MOA) to Degree Converter
Angle · unit-converter
Convert Minute of Angle (MOA) to Degree 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 Degree
Degrees divide a circle into 360 parts. Common in everyday angles, maps, and many engineering drawings.
How to convert minutes of angle (moa) to degrees
1 minute of angle (moa) equals 0.016666666666666666 degree in this tool (via radian):
1 moa = (0.0002908882086657216 rad ÷ 0.017453292519943295 rad) deg = 0.016666666666666666 deg
Each minute of angle (moa) carries 0.0002908882086657216 rad and each degree 0.017453292519943295 rad, so one moa equals 0.0002908882086657216 ÷ 0.017453292519943295 deg.
Let θ(moa) be the angle in Minute of Angle (MOA) (moa), and θ(deg) in Degree (deg). Then:
θ(deg) = θ(moa) × (0.0002908882086657216 / 0.017453292519943295)
Equivalently, divide by how many moa fit into one deg (rad per deg divided by rad per moa):
θ(deg) = θ(moa) ÷ 60
Examples
Example #1: Convert 1 moa to degree
1 moa = 1 moa × (0.0002908882086657216/0.017453292519943295) deg = 0.0166666667 deg
1 moa = 1 moa ÷ 60 = 0.0166666667 deg
1 moa × (0.0002908882086657216/0.017453292519943295) = 0.016667 deg
Example #2: Convert 10 moa to degree
10 moa = 10 moa × (0.0002908882086657216/0.017453292519943295) deg = 0.1666666667 deg
10 moa = 10 moa ÷ 60 = 0.1666666667 deg
10 moa × (0.0002908882086657216/0.017453292519943295) = 0.166667 deg
Summary
To convert Minute of Angle (MOA) to Degree, multiply the value in moa by (0.0002908882086657216 rad per moa) / (0.017453292519943295 rad per deg). Equivalently: value_deg = value_moa × (0.0002908882086657216 / 0.017453292519943295). Numerically, 1 moa equals 0.016666666666666666 deg.
Relationship context
Both Minute of Angle (MOA) and Degree are converted by fixed multiples of the radian. Multiplying by (rad per moa) ÷ (rad per deg) matches passing through radians, keeping degrees, gradians, arc minutes, NATO mils, and revolutions consistent on the hub.
Conversion tables
| Minute of Angle (MOA) (moa) | Degree (deg) |
|---|---|
| 0.1 | 0.0016666667 |
| 1 | 0.0166666667 |
| 2 | 0.0333333333 |
| 3 | 0.05 |
| 4 | 0.0666666667 |
| 5 | 0.0833333333 |
| 6 | 0.1 |
| 7 | 0.1166666667 |
| 8 | 0.1333333333 |
| 9 | 0.15 |
| Minute of Angle (MOA) (moa) | Degree (deg) |
|---|---|
| 10 | 0.1666666667 |
| 20 | 0.3333333333 |
| 30 | 0.5 |
| 40 | 0.6666666667 |
| 50 | 0.8333333333 |
| 60 | 1 |
| 70 | 1.1666666667 |
| 80 | 1.3333333333 |
| 90 | 1.5 |
| 100 | 1.6666666667 |