Convert Arcminutes to Milliradians
1 arcminute is 0.29 mrad. One arcminute is exactly 0.290888208666 milliradians.
One arcminute is 0.29088821 milliradians. To convert arcminutes to milliradians, multiply by 0.29088821; to go the other way, divide by 0.29088821 or multiply by 3.4377468. 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. A sixtieth of a degree.
Factor checked against the defining standard · How we check
- Arcminutes × 0.29088821
1 * 0.29088820.291 mrad
1 arcminute in every angle unit
| Unit | Value | Exact factor |
|---|---|---|
| radians | 0.0002908882087 rad | × 0.000290888208666 |
| degrees | 0.01666666667 ° | × 0.0166666666667 |
| gradians | 0.01851851852 gon | × 0.0185185185185 |
| arcminutes (as entered) | 1 ′ | — |
| arcseconds | 60 ″ | × 60 |
| turns | 0.0000462962963 turn | × 0.0000462962962963 |
| milliradians | 0.2908882087 mrad | × 0.290888208666 |
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 arcminutes to milliradians? The converter and the working
- 1.Take the measurement in arcminutes.
- 2.Multiply by 0.29088821 — that is how many milliradians fit in one arcminute.
- 3.To go back the other way, divide by 0.29088821, or multiply by 3.4377468.
Worked example: 25 arcminutes to milliradians
- Formula
- ′ × 0.29088821 = mrad
- Arithmetic
- 25 × 0.29088821 = 7.27 mrad
- Answer
- 25 ′ = 7.27 mrad
The factor is rounded for display; the figure above is computed from the full value.
Arcminutes to milliradians conversion table
| Arcminutes | Milliradians |
|---|---|
| 1 ′ | 0.29 mrad |
| 2 ′ | 0.58 mrad |
| 3 ′ | 0.87 mrad |
| 4 ′ | 1.16 mrad |
| 5 ′ | 1.45 mrad |
| 6 ′ | 1.75 mrad |
| 7 ′ | 2.04 mrad |
| 8 ′ | 2.33 mrad |
| 9 ′ | 2.62 mrad |
| 10 ′ | 2.91 mrad |
| 12 ′ | 3.49 mrad |
| 15 ′ | 4.36 mrad |
| 20 ′ | 5.82 mrad |
| 25 ′ | 7.27 mrad |
| 50 ′ | 14.54 mrad |
| 100 ′ | 29.09 mrad |
| 200 ′ | 58.18 mrad |
| 300 ′ | 87.27 mrad |
| 500 ′ | 145.44 mrad |
| 1000 ′ | 290.89 mrad |
| 2000 ′ | 581.78 mrad |
| 5000 ′ | 1,454.44 mrad |
| 10000 ′ | 2,908.88 mrad |
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.
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.
How many milliradians are in an arcminute?
One arcminute is 0.29088821 milliradians. Going the other way, one milliradian is 3.4377468 arcminutes. 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 an arcminute.
Source: NIST Special Publication 811 — the radian, and units accepted for use with the SI
Cite this page
- APA
- Rule Calculator. (2026). Convert Arcminutes to milliradians. Rule Calculator. https://rulecalculators.com/convert/arcminute-to-milliradian
- MLA
- "Convert Arcminutes to milliradians." Rule Calculator, August 16, 2026, https://rulecalculators.com/convert/arcminute-to-milliradian.
- Chicago
- Rule Calculator. "Convert Arcminutes to milliradians." Rule Calculator. Last reviewed August 16, 2026. https://rulecalculators.com/convert/arcminute-to-milliradian.
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Questions people actually ask
- How many milliradians are in an arcminute?
- 0.29088821. 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.
- How do I convert milliradians back to arcminutes?
- Divide by 0.29088821, or multiply by 3.4377468 — they are the same operation.
Other angle conversions
Milliradians to arcminutes — the same conversion the other way.