Degrees to Milliradians Converter (° to mrad)
Convert degrees to milliradians (° to mrad). See results in mrad, NATO mils, and MOA. Essential for long-range shooting, mil-dot scopes, and US military applications.
ANGLE IN MILLIRADIANS
17.4533 mrad
NATO MILS
17.78
RADIANS
0.017453
MOA
60.0
FORMULA
1×17.45
Degrees to Milliradians — Quick Reference
| Degrees | mrad | NATO mils | Application |
|---|---|---|---|
| 0.1° | 1.75 mrad | 1.8 mil | 1-click scope adjustment |
| 0.25° | 4.36 mrad | 4.4 mil | Fine scope correction |
| 0.5° | 8.73 mrad | 8.9 mil | Scope zeroing increment |
| 1° | 17.45 mrad | 17.8 mil | Standard mil-dot spacing |
| 2° | 34.91 mrad | 35.6 mil | Small target correction |
| 5° | 87.27 mrad | 88.9 mil | Wind hold (moderate) |
| 10° | 174.53 mrad | 177.8 mil | Holdover at range |
| 15° | 261.80 mrad | 266.7 mil | Target lead (moving) |
| 30° | 523.60 mrad | 533.3 mil | Wide field of view |
| 45° | 785.40 mrad | 800.0 mil | Quadrant angle |
| 90° | 1570.80 mrad | 1600.0 mil | Right angle (90°) |
| 360° | 6283.19 mrad | 6400.0 mil | Full rotation |
How to Convert Degrees to Milliradians
Multiply by 17.4533:
Example: 1° (standard mil-dot spacing)
= 1 × 17.4533 = 17.4533 mrad
Example: 0.1° (fine scope adjustment)
= 0.1 × 17.4533 = 1.7453 mrad
Example: 0.057° (1 mrad)
= 0.057 × 17.4533 ≈ 1.0 mrad
Why 17.4533? 1 degree = π/180 radians = π/180 × 1000 milliradians = 1000π/180 ≈ 17.4533 mrad. A milliradian is 1/1000th of a radian.
mrad vs MOA — Which Should You Use?
| Feature | mrad (Mil) | MOA |
|---|---|---|
| Full name | Milliradian | Minute of Angle |
| Per degree | 17.4533 mrad | 60 MOA |
| @ 100 yards | 1 mrad = 3.6" | 1 MOA = 1.047" |
| Click value | 0.1 mrad (typical) | 1/4 MOA (typical) |
| Click @ 100yd | 0.36" | 0.262" |
| Math system | Metric (base 10) | Base 60 |
| Popular with | Military, PRS, tactical | Hunting, benchrest |
| Range estimation | Easy (metric formula) | More complex |
Angular Measurement Systems
| System | Full Circle | 1 Degree = | Used By |
|---|---|---|---|
| Degrees | 360° | 1° | Everyday, navigation |
| Radians | 2π (6.2832) | 0.01745 rad | Math, physics, code |
| Milliradians | 6,283.2 | 17.4533 mrad | Military, long-range shooting |
| NATO mils | 6,400 | 17.778 mil | US Army, NATO artillery |
| MOA | 21,600 | 60 MOA | Hunting, benchrest shooting |
Mil-Dot Range Estimation
The mil-dot reticle uses milliradians to estimate target distance:
Example: 18" target measures 2.0 mrad in scope
= 18 × 27.78 ÷ 2.0 = 250 yards
Example: 40" target (deer chest) measures 1.5 mrad
= 40 × 27.78 ÷ 1.5 = 741 yards
Popular US mrad Scopes
| Scope | Click Value | Reticle | Price Range |
|---|---|---|---|
| Vortex Viper PST Gen II | 0.1 mrad | EBR-7C (mrad) | $700–900 |
| Nightforce ATACR 5-25×56 | 0.1 mrad | Mil-XT | $2,500+ |
| Leupold Mark 5HD | 0.1 mrad | Impact-60 MOA or Mil | $2,000+ |
| Primary Arms PLx 6-30×56 | 0.1 mrad | Athena BPR (mrad) | $1,600 |
| Athlon Ares ETR 4.5-30×56 | 0.1 mrad | APRS6 (mrad) | $800–1,000 |
What Is a Milliradian (mrad)?
A milliradian (mrad) is 1/1000th of a radian. At any distance, 1 mrad subtends 1 unit per 1,000 units: 1 mrad = 3.6 inches at 100 yards, or 10 cm at 100 meters. This makes mental math easy for range estimation and holdover calculations. Used by the US military, Precision Rifle Series (PRS), and tactical shooters.
What Is a Degree (°)?
A degree is 1/360th of a full rotation. While degrees are intuitive for everyday angles, they're too coarse for precision shooting — 1° = 17.45 mrad = about 62.8 inches at 100 yards. That's why shooters use milliradians or MOA for fine adjustments.