Minute of Angle (MOA) to Revolution Converter
Angle · unit-converter
Convert Minute of Angle (MOA) to Revolution 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 Revolution
One revolution (turn) is a full circle: 2π radians or 360°. Used in rotation rates, motors, and astronomy (e.g. revolutions per minute).
How to convert minutes of angle (moa) to revolutions
1 minute of angle (moa) equals 0.000046296296296296294 revolution in this tool (via radian):
1 moa = (0.0002908882086657216 rad ÷ 6.283185307179586 rad) turn = 0.000046296296296296294 turn
Each minute of angle (moa) carries 0.0002908882086657216 rad and each revolution 6.283185307179586 rad, so one moa equals 0.0002908882086657216 ÷ 6.283185307179586 turn.
Let θ(moa) be the angle in Minute of Angle (MOA) (moa), and θ(turn) in Revolution (turn). Then:
θ(turn) = θ(moa) × (0.0002908882086657216 / 6.283185307179586)
Equivalently, divide by how many moa fit into one turn (rad per turn divided by rad per moa):
θ(turn) = θ(moa) ÷ 21600
Examples
Example #1: Convert 1 moa to revolution
1 moa = 1 moa × (0.0002908882086657216/6.283185307179586) turn = 0.0000462963 turn
1 moa = 1 moa ÷ 21600 = 0.0000462963 turn
1 moa × (0.0002908882086657216/6.283185307179586) = 0.000046 turn
Example #2: Convert 10 moa to revolution
10 moa = 10 moa × (0.0002908882086657216/6.283185307179586) turn = 0.000462963 turn
10 moa = 10 moa ÷ 21600 = 0.000462963 turn
10 moa × (0.0002908882086657216/6.283185307179586) = 0.000463 turn
Summary
To convert Minute of Angle (MOA) to Revolution, multiply the value in moa by (0.0002908882086657216 rad per moa) / (6.283185307179586 rad per turn). Equivalently: value_turn = value_moa × (0.0002908882086657216 / 6.283185307179586). Numerically, 1 moa equals 0.000046296296296296294 turn.
Relationship context
Both Minute of Angle (MOA) and Revolution are converted by fixed multiples of the radian. Multiplying by (rad per moa) ÷ (rad per turn) matches passing through radians, keeping degrees, gradians, arc minutes, NATO mils, and revolutions consistent on the hub.
Conversion tables
| Minute of Angle (MOA) (moa) | Revolution (turn) |
|---|---|
| 0.1 | 0.0000046296 |
| 1 | 0.0000462963 |
| 2 | 0.0000925926 |
| 3 | 0.0001388889 |
| 4 | 0.0001851852 |
| 5 | 0.0002314815 |
| 6 | 0.0002777778 |
| 7 | 0.0003240741 |
| 8 | 0.0003703704 |
| 9 | 0.0004166667 |
| Minute of Angle (MOA) (moa) | Revolution (turn) |
|---|---|
| 10 | 0.000462963 |
| 20 | 0.0009259259 |
| 30 | 0.0013888889 |
| 40 | 0.0018518519 |
| 50 | 0.0023148148 |
| 60 | 0.0027777778 |
| 70 | 0.0032407407 |
| 80 | 0.0037037037 |
| 90 | 0.0041666667 |
| 100 | 0.0046296296 |