milliradian
Angleexact by definition
The milliradian is one thousandth of a radian, about 0.0573 degrees. Its usefulness is the small-angle approximation: at one kilometre a milliradian subtends one metre, so a 3 mrad laser divergence spreads to a 3 m spot at that range. Beam divergence, machine alignment and optical wedge angles are all specified in mrad.
Watch out: Rifle scopes marked in "mils" or "MIL" use the true milliradian, 6,283.19 to a full turn, while artillery uses the NATO mil of 6,400 to a turn. The two differ by about 1.9%, which matters at long range. Note also that MOA, the other shooting unit, is a minute of arc and about 3.4 times smaller than a milliradian.
| 1 | 0.05729578 |
One milliradian in every angle unit
| 206,265,000 | microarcsecond (μas) | |
| 206,265 | milliarcsecond (mas) | |
| 1,000 | microradian (μrad) | |
| 206.265 | arcsecond (″) | |
| 3.43775 | arcminute (′) | |
| 1.01859 | mil (NATO) (mil) | |
| 1 | milliradian (mrad)this unit | |
| 0.063662 | gradian (gon) | |
| 0.0572958 | degree (°) | |
| 0.00509296 | compass point (point) | |
| 0.00381972 | hour angle (h) | |
| 0.001 | radian (rad) | |
| 0.00063662 | quadrant (quad) | |
| 0.000159155 | revolution (rev) |
Solvers that use angle