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Milliradians to Degrees Converter

Convert milliradians (mrad) to degrees, and back, for scopes, surveying and precision optics.

What this tool does

Convert milliradians (mrad) to degrees, and back, for scopes, surveying and precision optics. Type an amount in milliradians, choose the units, and the tool converts it to degrees. It offers 4 angle units and also shows the same amount in the others.

Inputs

  • Value: A number.
  • From: Choose one: Milliradian, Degree, Radian, Arcminute. Starts as Milliradian.
  • To: Choose one of the same 4 units as "From". Starts as Degree.

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 milliradians to degrees:

  • 1 mrad ≈ 0.0572958°
  • 5 mrad ≈ 0.286479°
  • 10 mrad ≈ 0.572958°
  • 50 mrad ≈ 2.864789°
  • 100 mrad ≈ 5.729578°

Multiply the number of milliradians by about 0.0572958 to get degrees. The factor follows from exact definitions. It has more digits than fit here, so it is shown rounded.

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

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 milliradians to degrees?
A: Enter the value, choose milliradian as the From unit and degree 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 degrees to milliradians.

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