Convert Degrees to Milliradians
1 degree is 17.45 mrad. One degree is exactly 17.4532925199 milliradians.
One degree is 17.453293 milliradians. To convert degrees to milliradians, multiply by 17.453293; to go the other way, divide by 17.453293 or multiply by 0.05729578. 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 360th of a full turn, inherited from Babylonian astronomy and its base-60 arithmetic.
Factor checked against the defining standard · How we check
- Degrees × 17.453293
1 * 17.45329317.453 mrad
1 degree in every angle unit
| Unit | Value | Exact factor |
|---|---|---|
| radians | 0.01745329252 rad | × 0.0174532925199 |
| degrees (as entered) | 1 ° | — |
| gradians | 1.111111111 gon | × 1.11111111111 |
| arcminutes | 60 ′ | × 60 |
| arcseconds | 3,600 ″ | × 3,600 |
| turns | 0.002777777778 turn | × 0.00277777777778 |
| milliradians | 17.45329252 mrad | × 17.4532925199 |
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 degrees to milliradians? The converter and the working
- 1.Take the measurement in degrees.
- 2.Multiply by 17.453293 — that is how many milliradians fit in one degree.
- 3.To go back the other way, divide by 17.453293, or multiply by 0.05729578.
Worked example: 25 degrees to milliradians
- Formula
- ° × 17.453293 = mrad
- Arithmetic
- 25 × 17.453293 = 436.33 mrad
- Answer
- 25 ° = 436.33 mrad
The factor is rounded for display; the figure above is computed from the full value.
Degrees to milliradians conversion table
| Degrees | Milliradians |
|---|---|
| 1 ° | 17.45 mrad |
| 2 ° | 34.91 mrad |
| 3 ° | 52.36 mrad |
| 4 ° | 69.81 mrad |
| 5 ° | 87.27 mrad |
| 6 ° | 104.72 mrad |
| 7 ° | 122.17 mrad |
| 8 ° | 139.63 mrad |
| 9 ° | 157.08 mrad |
| 10 ° | 174.53 mrad |
| 12 ° | 209.44 mrad |
| 15 ° | 261.8 mrad |
| 20 ° | 349.07 mrad |
| 25 ° | 436.33 mrad |
| 50 ° | 872.66 mrad |
| 100 ° | 1,745.33 mrad |
| 200 ° | 3,490.66 mrad |
| 300 ° | 5,235.99 mrad |
| 500 ° | 8,726.65 mrad |
| 1000 ° | 17,453.29 mrad |
| 2000 ° | 34,906.59 mrad |
| 5000 ° | 87,266.46 mrad |
| 10000 ° | 174,532.93 mrad |
The scope mil and the military mil are not the same mil
A true milliradian is a thousandth of a radian, which puts 6,283.19 of them in a full turn and moves the point of impact 10 cm at 100 m. NATO rounds the same idea to 6,400 to a turn so it divides cleanly by compass points, and Warsaw Pact systems used 6,000. A scope adjusting in true mils and a fire-control table written in NATO mils differ by about 2%, which is a meter and a half at a kilometer.
NIST Special Publication 811 — Guide for the Use of the International System of Units
What is a degree?
A 360th of a full turn, inherited from Babylonian astronomy and its base-60 arithmetic. 360 survives because it divides evenly by everything from 2 to 12 except 7.
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 a degree?
One degree is 17.453293 milliradians. Going the other way, one milliradian is 0.05729578 degrees. 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 degree.
Source: NIST Special Publication 811 — the radian, and units accepted for use with the SI
Cite this page
- APA
- Rule Calculator. (2026). Convert Degrees to milliradians. Rule Calculator. https://rulecalculators.com/convert/degree-to-milliradian
- MLA
- "Convert Degrees to milliradians." Rule Calculator, August 16, 2026, https://rulecalculators.com/convert/degree-to-milliradian.
- Chicago
- Rule Calculator. "Convert Degrees to milliradians." Rule Calculator. Last reviewed August 16, 2026. https://rulecalculators.com/convert/degree-to-milliradian.
The date is when the figures on this page were last checked against their source, not the day you opened it. Add your own access date if your style needs one.
Questions people actually ask
- How many milliradians are in a degree?
- 17.453293. 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 degrees?
- Divide by 17.453293, or multiply by 0.05729578 — they are the same operation.
Other angle conversions
Milliradians to degrees — the same conversion the other way.