Convert Milliradians to Gradians
1 milliradian is 0.06 gon. One milliradian is exactly 0.0636619772368 gradians.
One milliradian is 0.063661977 gradians. To convert milliradians to gradians, multiply by 0.063661977; to go the other way, divide by 0.063661977 or multiply by 15.707963. 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 × 0.063661977
1 * 0.0636620.064 gon
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 gradians? The converter and the working
- 1.Take the measurement in milliradians.
- 2.Multiply by 0.063661977 — that is how many gradians fit in one milliradian.
- 3.To go back the other way, divide by 0.063661977, or multiply by 15.707963.
Worked example: 25 milliradians to gradians
- Formula
- mrad × 0.063661977 = gon
- Arithmetic
- 25 × 0.063661977 = 1.59 gon
- Answer
- 25 mrad = 1.59 gon
The factor is rounded for display; the figure above is computed from the full value.
Milliradians to gradians conversion table
| Milliradians | Gradians |
|---|---|
| 1 mrad | 0.06 gon |
| 2 mrad | 0.13 gon |
| 3 mrad | 0.19 gon |
| 4 mrad | 0.25 gon |
| 5 mrad | 0.32 gon |
| 6 mrad | 0.38 gon |
| 7 mrad | 0.45 gon |
| 8 mrad | 0.51 gon |
| 9 mrad | 0.57 gon |
| 10 mrad | 0.64 gon |
| 12 mrad | 0.76 gon |
| 15 mrad | 0.95 gon |
| 20 mrad | 1.27 gon |
| 25 mrad | 1.59 gon |
| 50 mrad | 3.18 gon |
| 100 mrad | 6.37 gon |
| 200 mrad | 12.73 gon |
| 300 mrad | 19.1 gon |
| 500 mrad | 31.83 gon |
| 1000 mrad | 63.66 gon |
| 2000 mrad | 127.32 gon |
| 5000 mrad | 318.31 gon |
| 10000 mrad | 636.62 gon |
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 gradian?
A 400th of a turn, so a right angle is exactly 100. Invented with the metric system and still used in European surveying and on calculators with a GRAD mode nobody means to press.
How many gradians are in a milliradian?
One milliradian is 0.063661977 gradians. Going the other way, one gradian is 15.707963 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 gradians. Rule Calculator. https://rulecalculators.com/convert/milliradian-to-gradian
- MLA
- "Convert Milliradians to gradians." Rule Calculator, August 16, 2026, https://rulecalculators.com/convert/milliradian-to-gradian.
- Chicago
- Rule Calculator. "Convert Milliradians to gradians." Rule Calculator. Last reviewed August 16, 2026. https://rulecalculators.com/convert/milliradian-to-gradian.
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Questions people actually ask
- How many gradians are in a milliradian?
- 0.063661977. A 400th of a turn, so a right angle is exactly 100. Invented with the metric system and still used in European surveying and on calculators with a GRAD mode nobody means to press.
- How do I convert gradians back to milliradians?
- Divide by 0.063661977, or multiply by 15.707963 — they are the same operation.
Other angle conversions
Gradians to milliradians — the same conversion the other way.