Convert Degrees to Milli-radians

Enter a value in degrees to convert it to milli-radians. The result updates instantly and includes the formula and calculation steps.

Degrees to Milli-radians calculator

to
°
Milli-radians
mrad

Degrees to Milli-radians formula

Use this formula to convert degrees to milli-radians:

Milli-radians = Degrees * 2000 * π / 360

Calculation

Enter a valid number above to see the formula with your value substituted step by step.

Degrees to Milli-radians Conversion Table

Reference values for converting Degrees to Milli-radians.

Degrees (°)Milli-radians (mrad)
0 °0 mrad
1 °17.4533 mrad
10 °174.5329 mrad
45 °785.3982 mrad
90 °1570.7963 mrad
180 °3141.5927 mrad
360 °6283.1853 mrad
1000 °17453.2925 mrad

Worked example

Convert 45 Degrees to Milli-radians

Milli-radians = 45 × 2000 × π / 360 = 785.3982 Milli-radians

About these units

Degrees

Degrees are a widely used unit of angular measurement, especially in geometry, trigonometry, and everyday applications. A full circle is divided into 360 degrees, with each degree further divided into 60 minutes and each minute into 60 seconds. Degrees offer an intuitive way to express angles, and they are prevalent in fields ranging from navigation to astronomy, as well as in common day-to-day measurements.

Milli-radians

Milli-radians (mrad) are a unit of angular measurement equal to one-thousandth of a radian. This small unit is used in fields such as ballistics, gunnery, and optics, where precise angular measurements are critical. Milli-radians allow for the calculation of minute angular displacements, distances, and target adjustments.