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Degrees to Milliradians Converter

Convert degrees to milliradians (mrad), and back, for shooting, ballistics and angular measurements.

What this tool does

Convert degrees to milliradians (mrad), and back, for shooting, ballistics and angular measurements. Type an amount in degrees, choose the units, and the tool converts it to milliradians. It offers 5 angle units and also shows the same amount in the others.

Inputs

  • Value: A number.
  • From: Choose one: Degree, Milliradian, Radian, Gradian (gon), Arcminute. Starts as Degree.
  • To: Choose one of the same 5 units as "From". Starts as Milliradian.

How to use

  1. Enter the amount you want to convert.
  2. Choose the unit to convert from and the unit to convert to.
  3. Read the result: the converted amount and the same amount in the other units. It appears once every required field has a valid value.

Worked examples

Conversions from degrees to milliradians:

  • 1° ≈ 17.453293 mrad
  • 5° ≈ 87.266463 mrad
  • 10° ≈ 174.532925 mrad
  • 50° ≈ 872.664626 mrad
  • 100° ≈ 1,745.329252 mrad

Multiply the number of degrees by about 17.453293 to get milliradians. The factor follows from exact definitions. It has more digits than fit here, so it is shown rounded.

Sources: Degree: SI Brochure, 9th edition (2019), Table 8. Milliradian: SI Brochure, 9th edition (2019, updated 2022), Table 7 (SI prefixes).

Limitations

  • Converts the size of an angle between units only. It does not work out angles from side lengths or slopes.

FAQs

Q: How do I convert degrees to milliradians?
A: Enter the value, choose degree as the From unit and milliradian as the To unit. The result appears along with the same angle in the other listed units. To go the other way, swap the two units.
Q: How big is a milliradian?
A: One milliradian is one thousandth of a radian, about 0.0572958 degrees or 3.43775 arcminutes. One degree is about 17.4533 milliradians.
Q: Is this the same as a NATO mil?
A: No. The milliradian here is exactly one thousandth of a radian. The NATO angular mil is 1/6400 of a turn, which is a slightly different size.
Q: Can I convert the other way?
A: Yes. Swap the From and To units to convert milliradians to degrees.

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