Convert degrees to milliradians (mrad) instantly. Our free tool is perfect for optics, ballistics, and engineering. Includes the deg to mrad formula and a quick reference table.
Deg to mrad Converter
The Degrees to Milliradians Formula
A milliradian (often abbreviated as mrad or mil) is an angular measurement unit which is 1/1000th of a radian. Because there are 360 degrees in a full circle and 2π radians, the relationship between degrees and milliradians is defined by the following formula:
mrad = Degrees × (π / 180) × 1,000
Simplified: 1 Degree ≈ 17.4533 mrad
Degrees to mrad Conversion Table
Use this table for quick reference in optics and ballistic adjustments:
| Degrees (°) | Milliradians (mrad) |
|---|---|
| 0.1° | 1.7453 mrad |
| 0.5° | 8.7266 mrad |
| 1° | 17.4533 mrad |
| 5° | 87.2665 mrad |
| 10° | 174.5329 mrad |
| 45° | 785.3982 mrad |
Context: Why Use Milliradians?
Milliradians are widely used in professional and military contexts because of their relationship with distance. One mrad subtends almost exactly 1 unit of height at 1,000 units of distance (e.g., 1 meter at 1,000 meters).
- Ballistics & Scopes: Many professional rifle scopes use “Mil-dot” reticles. Converting degrees to mrad helps shooters adjust their point of aim for windage and elevation.
- Engineering: Used in high-precision manufacturing where minute angles must be measured without using standard degrees.
- Astronomy: Helping to define the small angular diameters of celestial objects or the separation between binary stars.
Why Use This Converter?
While the conversion factor is roughly 17.45, relying on mental math for precise adjustments can lead to significant errors over long distances. Our tool uses the exact mathematical value of Pi to provide results accurate to four decimal places, ensuring your technical data is reliable.