Degrees to Milliradians Converter
Convert angle measurements from degrees to milliradians (mrad). Essential for military, ballistics, and precision optics applications.
Common Degrees to Milliradians Conversions
| 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 |
| 90° | 1570.7963 mrad |
| 180° | 3141.5927 mrad |
How to Convert Degrees to Milliradians
A milliradian is one-thousandth of a radian. Since 1 degree = π/180 radians, 1 degree = 1000 × π/180 milliradians.
The Conversion Formula
Simplified:
Example: Converting 1 Degree to Milliradians
milliradians = 1° × 17.453293 = 17.4533 mrad
What Is a Milliradian?
A milliradian (mrad) is 1/1000 of a radian. At 1000 meters distance, 1 milliradian subtends approximately 1 meter. This makes milliradians extremely useful for range estimation and precision aiming.
Applications
Military & Ballistics: Rifle scopes and artillery fire control systems use milliradians for precise adjustments.
Optics: Laser beam divergence and optical system specifications often use milliradians.
Surveying: Precise angular measurements in theodolites and total stations.
Mrad vs NATO Mils
Note: Mathematical milliradians (mrad) differ from NATO mils. A full circle contains approximately 6,283 milliradians but exactly 6,400 NATO mils. This converter uses true milliradians.