Convert Milliradians to Radians
1 milliradian is 0.001 rad. One milliradian is exactly 0.001 radians.
One milliradian is 0.001 radians. To convert milliradians to radians, multiply by 0.001; to go the other way, divide by 0.001 or multiply by 1000. The factor is exact rather than rounded: it follows from NIST Special Publication 811.
Factor checked against the defining standard · How we check
- Milliradians × 0.001
1 * 0.0010.001 rad
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 radians? The converter and the working
- 1.Take the measurement in milliradians.
- 2.Multiply by 0.001 — that is how many radians fit in one milliradian.
- 3.To go back the other way, divide by 0.001, or multiply by 1000.
Worked example: 25 milliradians to radians
- Formula
- mrad × 0.001 = rad
- Arithmetic
- 25 × 0.001 = 0.03 rad
- Answer
- 25 mrad = 0.03 rad
The factor is exact, so this figure is exact too — only the display is rounded.
Milliradians to radians conversion table
| Milliradians | Radians |
|---|---|
| 1 mrad | 0.001 rad |
| 2 mrad | 0.002 rad |
| 3 mrad | 0.003 rad |
| 4 mrad | 0.004 rad |
| 5 mrad | 0.01 rad |
| 6 mrad | 0.01 rad |
| 7 mrad | 0.01 rad |
| 8 mrad | 0.01 rad |
| 9 mrad | 0.01 rad |
| 10 mrad | 0.01 rad |
| 12 mrad | 0.01 rad |
| 15 mrad | 0.02 rad |
| 20 mrad | 0.02 rad |
| 25 mrad | 0.03 rad |
| 50 mrad | 0.05 rad |
| 100 mrad | 0.1 rad |
| 200 mrad | 0.2 rad |
| 300 mrad | 0.3 rad |
| 500 mrad | 0.5 rad |
| 1000 mrad | 1 rad |
| 2000 mrad | 2 rad |
| 5000 mrad | 5 rad |
| 10000 mrad | 10 rad |
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 a radian?
The angle subtending an arc equal to the radius. It is the unit every trigonometric function in every programming language actually takes, which is why a sine computed in degrees comes out wrong.
How many radians are in a milliradian?
One milliradian is 0.001 radians, exactly. Going the other way, one radian is 1000 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 radians. Rule Calculator. https://rulecalculators.com/convert/milliradian-to-radian
- MLA
- "Convert Milliradians to radians." Rule Calculator, August 16, 2026, https://rulecalculators.com/convert/milliradian-to-radian.
- Chicago
- Rule Calculator. "Convert Milliradians to radians." Rule Calculator. Last reviewed August 16, 2026. https://rulecalculators.com/convert/milliradian-to-radian.
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Questions people actually ask
- How many radians are in a milliradian?
- 0.001. The angle subtending an arc equal to the radius. It is the unit every trigonometric function in every programming language actually takes, which is why a sine computed in degrees comes out wrong.
- How do I convert radians back to milliradians?
- Divide by 0.001, or multiply by 1000 — they are the same operation.
Other angle conversions
Radians to milliradians — the same conversion the other way.