Radians to Milliradians Converter
Enter a value to instantly convert between angle units.
1 Radian = 1000 Milliradian
Key Formulas
Degree → Radian
rad = ° × 0.0174533Radian → Degree
° = rad × 57.2958Degree → Gradian
grad = ° × 1.11111Gradian → Degree
° = grad × 0.9Formula
mrad = radians × 1000Physics engines, IMUs (inertial measurement units), and robotics control systems output angles in radians. Military optics — rifle scopes, rangefinders, artillery fire control — use milliradians for the 1-mrad/1-meter rule at 1,000 metres. When integrating a drone's IMU-measured attitude (in radians) with a targeting system (in mrad), or when converting a ballistic trajectory angle from a physics simulation to scope adjustment units, this simple ×1,000 conversion is the link.
Source: ISO 80000-3:2019 (Quantities and units — Space and time)
Last reviewed: · see our methodology
Frequently Asked Questions
Real-World Examples
One milliradian — at 1,000 m, 1 mrad of angular deviation equals 1 m of linear displacement. This is the 1-mrad/1-m rule that makes field ranging calculations instant.
0.001 rad = 1 mrad
One radian — 1,000 mrad (≈ 57.3°). A physics simulation's joint angle output, converted for display in a mrad-calibrated targeting interface.
1 rad = 1000 mrad
π/2 radians (right angle) — 1,570.8 mrad. Confirming that a 90° gimbal position reads correctly in both radians and milliradians.
1.5708 rad = 1570.8 mrad
One degree (0.017453 rad) — 17.45 mrad. Used when converting a degree-based ballistic correction to scope turret clicks (typically 0.1 mrad/click = 174.5 clicks per degree).
0.017453 rad = 17.45 mrad