Sextant to Minute of Angle (MOA) Converter
Angle · unit-converter
Convert Sextant 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 Sextant
A sextant is one sixth of a full turn: 60° or π/3 radians. It appears in geometry and some traditional angular partitioning.
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 sextants to minutes of angle (moa)
1 sextant equals 3600 minute of angle (moa) in this tool (via radian):
1 sextant = (1.0471975511965976 rad ÷ 0.0002908882086657216 rad) moa = 3600 moa
Each sextant carries 1.0471975511965976 rad and each minute of angle (moa) 0.0002908882086657216 rad, so one sextant equals 1.0471975511965976 ÷ 0.0002908882086657216 moa.
Let θ(sextant) be the angle in Sextant (sextant), and θ(moa) in Minute of Angle (MOA) (moa). Then:
θ(moa) = θ(sextant) × (1.0471975511965976 / 0.0002908882086657216)
Equivalently, divide by how many sextant fit into one moa (rad per moa divided by rad per sextant):
θ(moa) = θ(sextant) ÷ 0.0002777777777777778
Examples
Example #1: Convert 1 sextant to minute of angle (moa)
1 sextant = 1 sextant × (1.0471975511965976/0.0002908882086657216) moa = 3600 moa
1 sextant = 1 sextant ÷ 0.0002777777777777778 = 3600 moa
1 sextant × (1.0471975511965976/0.0002908882086657216) = 3,600.000000 moa
Example #2: Convert 10 sextant to minute of angle (moa)
10 sextant = 10 sextant × (1.0471975511965976/0.0002908882086657216) moa = 36000 moa
10 sextant = 10 sextant ÷ 0.0002777777777777778 = 36000 moa
10 sextant × (1.0471975511965976/0.0002908882086657216) = 36,000.000000 moa
Summary
To convert Sextant to Minute of Angle (MOA), multiply the value in sextant by (1.0471975511965976 rad per sextant) / (0.0002908882086657216 rad per moa). Equivalently: value_moa = value_sextant × (1.0471975511965976 / 0.0002908882086657216). Numerically, 1 sextant equals 3600 moa.
Relationship context
Both Sextant and Minute of Angle (MOA) are converted by fixed multiples of the radian. Multiplying by (rad per sextant) ÷ (rad per moa) matches passing through radians, keeping degrees, gradians, arc minutes, NATO mils, and revolutions consistent on the hub.
Conversion tables
| Sextant (sextant) | Minute of Angle (MOA) (moa) |
|---|---|
| 0.1 | 360 |
| 1 | 3,600 |
| 2 | 7,200 |
| 3 | 10,800 |
| 4 | 14,400 |
| 5 | 18,000 |
| 6 | 21,600 |
| 7 | 25,200 |
| 8 | 28,800 |
| 9 | 32,400 |
| Sextant (sextant) | Minute of Angle (MOA) (moa) |
|---|---|
| 10 | 36,000 |
| 20 | 72,000 |
| 30 | 108,000 |
| 40 | 144,000 |
| 50 | 180,000 |
| 60 | 216,000 |
| 70 | 252,000 |
| 80 | 288,000 |
| 90 | 324,000 |
| 100 | 360,000 |