Convert Milliradians to Arcseconds
1 milliradian is 206.26 ″. One milliradian is exactly 206.264806247 arcseconds.
One milliradian is 206.26481 arcseconds. To convert milliradians to arcseconds, multiply by 206.26481; to go the other way, divide by 206.26481 or multiply by 0.0048481368. 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 × 206.26481
1 * 206.26481206.265 ″
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 arcseconds? The converter and the working
- 1.Take the measurement in milliradians.
- 2.Multiply by 206.26481 — that is how many arcseconds fit in one milliradian.
- 3.To go back the other way, divide by 206.26481, or multiply by 0.0048481368.
Worked example: 25 milliradians to arcseconds
- Formula
- mrad × 206.26481 = ″
- Arithmetic
- 25 × 206.26481 = 5,156.62 ″
- Answer
- 25 mrad = 5,156.62 ″
The factor is rounded for display; the figure above is computed from the full value.
Milliradians to arcseconds conversion table
| Milliradians | Arcseconds |
|---|---|
| 1 mrad | 206.26 ″ |
| 2 mrad | 412.53 ″ |
| 3 mrad | 618.79 ″ |
| 4 mrad | 825.06 ″ |
| 5 mrad | 1,031.32 ″ |
| 6 mrad | 1,237.59 ″ |
| 7 mrad | 1,443.85 ″ |
| 8 mrad | 1,650.12 ″ |
| 9 mrad | 1,856.38 ″ |
| 10 mrad | 2,062.65 ″ |
| 12 mrad | 2,475.18 ″ |
| 15 mrad | 3,093.97 ″ |
| 20 mrad | 4,125.3 ″ |
| 25 mrad | 5,156.62 ″ |
| 50 mrad | 10,313.24 ″ |
| 100 mrad | 20,626.48 ″ |
| 200 mrad | 41,252.96 ″ |
| 300 mrad | 61,879.44 ″ |
| 500 mrad | 103,132.4 ″ |
| 1000 mrad | 206,264.81 ″ |
| 2000 mrad | 412,529.61 ″ |
| 5000 mrad | 1,031,324.03 ″ |
| 10000 mrad | 2,062,648.06 ″ |
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 arcsecond?
A 3,600th of a degree. Stellar parallax is measured in these: a star one arcsecond of parallax away is one parsec from Earth, which is where the name comes from.
How many arcseconds are in a milliradian?
One milliradian is 206.26481 arcseconds. Going the other way, one arcsecond is 0.0048481368 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 arcseconds. Rule Calculator. https://rulecalculators.com/convert/milliradian-to-arcsecond
- MLA
- "Convert Milliradians to arcseconds." Rule Calculator, August 16, 2026, https://rulecalculators.com/convert/milliradian-to-arcsecond.
- Chicago
- Rule Calculator. "Convert Milliradians to arcseconds." Rule Calculator. Last reviewed August 16, 2026. https://rulecalculators.com/convert/milliradian-to-arcsecond.
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Questions people actually ask
- How many arcseconds are in a milliradian?
- 206.26481. A 3,600th of a degree. Stellar parallax is measured in these: a star one arcsecond of parallax away is one parsec from Earth, which is where the name comes from.
- How do I convert arcseconds back to milliradians?
- Divide by 206.26481, or multiply by 0.0048481368 — they are the same operation.
Other angle conversions
Arcseconds to milliradians — the same conversion the other way.