Sextant to Milliradian Converter

Angle · unit-converter

Convert Sextant to Milliradian 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 Milliradian

A milliradian is 1/1000 radian. Used in ballistics, long-range shooting, and engineering for small angles.

How to convert sextants to milliradians

1 sextant equals 1047.1975511965977 milliradian in this tool (via radian):

1 sextant = (1.0471975511965976 rad ÷ 0.001 rad) mrad = 1047.1975511965977 mrad

Each sextant carries 1.0471975511965976 rad and each milliradian 0.001 rad, so one sextant equals 1.0471975511965976 ÷ 0.001 mrad.

Let θ(sextant) be the angle in Sextant (sextant), and θ(mrad) in Milliradian (mrad). Then:

θ(mrad) = θ(sextant) × (1.0471975511965976 / 0.001)

Equivalently, divide by how many sextant fit into one mrad (rad per mrad divided by rad per sextant):

θ(mrad) = θ(sextant) ÷ 0.0009549296585513722

Examples

Example #1: Convert 1 sextant to milliradian

1 sextant = 1 sextant × (1.0471975511965976/0.001) mrad = 1047.1975512 mrad

1 sextant = 1 sextant ÷ 0.0009549296585513722 = 1047.1975512 mrad

1 sextant × (1.0471975511965976/0.001) = 1,047.197551 mrad

Example #2: Convert 10 sextant to milliradian

10 sextant = 10 sextant × (1.0471975511965976/0.001) mrad = 10471.975512 mrad

10 sextant = 10 sextant ÷ 0.0009549296585513722 = 10471.975512 mrad

10 sextant × (1.0471975511965976/0.001) = 10,471.975512 mrad

Summary

To convert Sextant to Milliradian, multiply the value in sextant by (1.0471975511965976 rad per sextant) / (0.001 rad per mrad). Equivalently: value_mrad = value_sextant × (1.0471975511965976 / 0.001). Numerically, 1 sextant equals 1047.1975511965977 mrad.

Relationship context

Both Sextant and Milliradian are converted by fixed multiples of the radian. Multiplying by (rad per sextant) ÷ (rad per mrad) matches passing through radians, keeping degrees, gradians, arc minutes, NATO mils, and revolutions consistent on the hub.

Conversion tables

Sextant (sextant)Milliradian (mrad)
0.1104.71975512
11,047.1975512
22,094.39510239
33,141.59265359
44,188.79020479
55,235.98775598
66,283.18530718
77,330.38285838
88,377.58040957
99,424.77796077
Sextant (sextant)Milliradian (mrad)
1010,471.975512
2020,943.9510239
3031,415.9265359
4041,887.9020479
5052,359.8775598
6062,831.8530718
7073,303.8285838
8083,775.8040957
9094,247.7796077
100104,719.75512