Minute of Angle (MOA) to Sextant Converter
Angle · unit-converter
Convert Minute of Angle (MOA) to Sextant 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 Sextant
A sextant is one sixth of a full turn: 60° or π/3 radians. It appears in geometry and some traditional angular partitioning.
How to convert minutes of angle (moa) to sextants
1 minute of angle (moa) equals 0.0002777777777777778 sextant in this tool (via radian):
1 moa = (0.0002908882086657216 rad ÷ 1.0471975511965976 rad) sextant = 0.0002777777777777778 sextant
Each minute of angle (moa) carries 0.0002908882086657216 rad and each sextant 1.0471975511965976 rad, so one moa equals 0.0002908882086657216 ÷ 1.0471975511965976 sextant.
Let θ(moa) be the angle in Minute of Angle (MOA) (moa), and θ(sextant) in Sextant (sextant). Then:
θ(sextant) = θ(moa) × (0.0002908882086657216 / 1.0471975511965976)
Equivalently, divide by how many moa fit into one sextant (rad per sextant divided by rad per moa):
θ(sextant) = θ(moa) ÷ 3600
Examples
Example #1: Convert 1 moa to sextant
1 moa = 1 moa × (0.0002908882086657216/1.0471975511965976) sextant = 0.0002777778 sextant
1 moa = 1 moa ÷ 3600 = 0.0002777778 sextant
1 moa × (0.0002908882086657216/1.0471975511965976) = 0.000278 sextant
Example #2: Convert 10 moa to sextant
10 moa = 10 moa × (0.0002908882086657216/1.0471975511965976) sextant = 0.0027777778 sextant
10 moa = 10 moa ÷ 3600 = 0.0027777778 sextant
10 moa × (0.0002908882086657216/1.0471975511965976) = 0.002778 sextant
Summary
To convert Minute of Angle (MOA) to Sextant, multiply the value in moa by (0.0002908882086657216 rad per moa) / (1.0471975511965976 rad per sextant). Equivalently: value_sextant = value_moa × (0.0002908882086657216 / 1.0471975511965976). Numerically, 1 moa equals 0.0002777777777777778 sextant.
Relationship context
Both Minute of Angle (MOA) and Sextant are converted by fixed multiples of the radian. Multiplying by (rad per moa) ÷ (rad per sextant) matches passing through radians, keeping degrees, gradians, arc minutes, NATO mils, and revolutions consistent on the hub.
Conversion tables
| Minute of Angle (MOA) (moa) | Sextant (sextant) |
|---|---|
| 0.1 | 0.0000277778 |
| 1 | 0.0002777778 |
| 2 | 0.0005555556 |
| 3 | 0.0008333333 |
| 4 | 0.0011111111 |
| 5 | 0.0013888889 |
| 6 | 0.0016666667 |
| 7 | 0.0019444444 |
| 8 | 0.0022222222 |
| 9 | 0.0025 |
| Minute of Angle (MOA) (moa) | Sextant (sextant) |
|---|---|
| 10 | 0.0027777778 |
| 20 | 0.0055555556 |
| 30 | 0.0083333333 |
| 40 | 0.0111111111 |
| 50 | 0.0138888889 |
| 60 | 0.0166666667 |
| 70 | 0.0194444444 |
| 80 | 0.0222222222 |
| 90 | 0.025 |
| 100 | 0.0277777778 |