Convert Milliradians to Radians
Convert Milliradians (mrad) to Radians (rad) instantly and accurately.
Conversion Formula
rad = mrad × 0.001
About Milliradians
A milliradian (mrad) is one thousandth of a radian (10⁻³ rad ≈ 0.05730°). The MIL-dot reticle system in precision rifle scopes uses milliradians for its elegant property: at range R metres, 1 mrad subtends exactly R mm - so at 300 m, 1 mrad = 300 mm; at 1,000 m, 1 mrad = 1,000 mm = 1 m. Semiconductor laser slow-axis divergence is typically 5-15 mrad. Note: 1 mrad ≠ 1 NATO mil (which is π/3,200 rad ≈ 0.9817 mrad). 1 mrad ≈ 0.05730° ≈ 3.438′ ≈ 206.3″.
About Radians
The radian (rad) is the SI unit of plane angle, defined as the angle subtended at the centre of a circle by an arc equal in length to the radius. A full circle = 2π rad; a right angle = π/2 rad. The radian is dimensionless (arc length / radius), so it can be omitted in equations. All calculus and physics formulas are simplest in radians: d/dx(sin x) = cos x holds only in radians; Taylor series sin x = x − x³/6 + x⁵/120 hold only for x in radians; angular frequency ω = 2πf gives energy E = ħω. 1 rad = 180°/π ≈ 57.2958° ≈ 206,264.8″.
Quick Reference Table
| Milliradians (mrad) | Radians (rad) |
|---|---|
| 1 mrad | 0.001 rad |
| 2 mrad | 0.002 rad |
| 5 mrad | 0.005 rad |
| 10 mrad | 0.01 rad |
| 25 mrad | 0.025 rad |
| 50 mrad | 0.05 rad |
| 100 mrad | 0.1 rad |