Convert Milliradians to Arcminutes
1 milliradian is 3.44 ′. One milliradian is exactly 3.43774677078 arcminutes.
One milliradian is 3.4377468 arcminutes. To convert milliradians to arcminutes, multiply by 3.4377468; to go the other way, divide by 3.4377468 or multiply by 0.29088821. The relation is exact but the figure is not: it is a rounding of a number that does not terminate, and it follows from NIST Special Publication 811.
Factor checked against the defining standard · How we check
- Milliradians × 3.4377468
1 * 3.43774683.438 ′
1 milliradian in every angle unit
| Unit | Value | Exact factor |
|---|---|---|
| radians | 0.001 rad | × 0.001 |
| degrees | 0.05729577951 ° | × 0.0572957795131 |
| gradians | 0.06366197724 gon | × 0.0636619772368 |
| arcminutes | 3.437746771 ′ | × 3.43774677078 |
| arcseconds | 206.2648062 ″ | × 206.264806247 |
| turns | 0.0001591549431 turn | × 0.000159154943092 |
| milliradians (as entered) | 1 mrad | — |
Factors are entered by hand from NIST Special Publication 811 rather than derived from a units library, so the ones that terminate are exact rather than rounded.
How do you convert milliradians to arcminutes? The converter and the working
- 1.Take the measurement in milliradians.
- 2.Multiply by 3.4377468 — that is how many arcminutes fit in one milliradian.
- 3.To go back the other way, divide by 3.4377468, or multiply by 0.29088821.
Worked example: 25 milliradians to arcminutes
- Formula
- mrad × 3.4377468 = ′
- Arithmetic
- 25 × 3.4377468 = 85.94 ′
- Answer
- 25 mrad = 85.94 ′
The factor is rounded for display; the figure above is computed from the full value.
Milliradians to arcminutes conversion table
| Milliradians | Arcminutes |
|---|---|
| 1 mrad | 3.44 ′ |
| 2 mrad | 6.88 ′ |
| 3 mrad | 10.31 ′ |
| 4 mrad | 13.75 ′ |
| 5 mrad | 17.19 ′ |
| 6 mrad | 20.63 ′ |
| 7 mrad | 24.06 ′ |
| 8 mrad | 27.5 ′ |
| 9 mrad | 30.94 ′ |
| 10 mrad | 34.38 ′ |
| 12 mrad | 41.25 ′ |
| 15 mrad | 51.57 ′ |
| 20 mrad | 68.75 ′ |
| 25 mrad | 85.94 ′ |
| 50 mrad | 171.89 ′ |
| 100 mrad | 343.77 ′ |
| 200 mrad | 687.55 ′ |
| 300 mrad | 1,031.32 ′ |
| 500 mrad | 1,718.87 ′ |
| 1000 mrad | 3,437.75 ′ |
| 2000 mrad | 6,875.49 ′ |
| 5000 mrad | 17,188.73 ′ |
| 10000 mrad | 34,377.47 ′ |
What is a milliradian?
A thousandth of a radian, and the unit rifle scopes adjust in: at 100 meters one milliradian moves the point of impact by 10 cm. The military "mil" is a different thing — 6,400 to a turn rather than the true 6,283.
What is an arcminute?
A sixtieth of a degree. A nautical mile was defined as one arcminute of latitude, which is why the two units keep appearing together on charts.
How many arcminutes are in a milliradian?
One milliradian is 3.4377468 arcminutes. Going the other way, one arcminute is 0.29088821 milliradians. Both figures come from the same defined relation rather than from a measurement, which is why they are the same today as they were in 1959.
Every angle unit here
The whole group — 7 units with their symbols and the size of each one in radians — is on the conversion index, along with every pair it makes. The table above already gives each of them relative to a milliradian.
Source: NIST Special Publication 811 — the radian, and units accepted for use with the SI
Cite this page
- APA
- Rule Calculator. (2026). Convert Milliradians to arcminutes. Rule Calculator. https://rulecalculators.com/convert/milliradian-to-arcminute
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- "Convert Milliradians to arcminutes." Rule Calculator, August 16, 2026, https://rulecalculators.com/convert/milliradian-to-arcminute.
- Chicago
- Rule Calculator. "Convert Milliradians to arcminutes." Rule Calculator. Last reviewed August 16, 2026. https://rulecalculators.com/convert/milliradian-to-arcminute.
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Questions people actually ask
- How many arcminutes are in a milliradian?
- 3.4377468. A sixtieth of a degree. A nautical mile was defined as one arcminute of latitude, which is why the two units keep appearing together on charts.
- How do I convert arcminutes back to milliradians?
- Divide by 3.4377468, or multiply by 0.29088821 — they are the same operation.
Other angle conversions
Arcminutes to milliradians — the same conversion the other way.