Milliradians to Radians Converter
Enter a value to instantly convert between angle units.
1 Milliradian = 0.001 Radian
Key Formulas
Degree → Radian
rad = ° × 0.0174533Radian → Degree
° = rad × 57.2958Degree → Gradian
grad = ° × 1.11111Gradian → Degree
° = grad × 0.9Formula
radians = mrad ÷ 1000Ballistics and targeting systems output angular measurements in milliradians for the field-friendly 1-mrad/1-meter rule, but physics simulations, robotics kinematics, and engineering mathematics require angles in radians. A trajectory simulation receiving mrad data from a sensor must convert to radians before applying equations of motion: angular velocity in rad/s, rotational inertia in kg·m²/rad. The conversion is exact: 1 mrad = 0.001 rad by definition.
Source: ISO 80000-3:2019 (Quantities and units — Space and time)
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Frequently Asked Questions
Real-World Examples
1,000 mrad — exactly 1 radian (≈57.296°). The definition of the milliradian: one thousandth of a radian.
1000 mrad = 1 rad
1,570.8 mrad — π/2 radians (90°), a right angle. The radian value fed to a rotation matrix for a 90° servo command.
1570.8 mrad = 1.5708 rad
100 mrad — 0.1 radians. A small angle approximation (sin θ ≈ θ) applies here, simplifying physics calculations for small-deflection scenarios.
100 mrad = 0.1 rad
6,283.185 mrad — 2π radians, a full circle. The radian value for one complete rotation of a servo or gimbal axis.
6283.185 mrad = 6.28319 rad