Milliradian to Degree Converter
Convert milliradian to degree instantly. 1 milliradian = 0.057296 degree.
Milliradian to Degree Table
| Milliradian | Degree |
|---|---|
| 1 mrad | 0.057296 ° |
| 5 mrad | 0.286479 ° |
| 10 mrad | 0.572958 ° |
| 30 mrad | 1.718873 ° |
| 45 mrad | 2.57831 ° |
| 90 mrad | 5.15662 ° |
| 180 mrad | 10.31324 ° |
| 360 mrad | 20.626481 ° |
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Quick Answer
Formula: Degree = Milliradian × 0.0573
Multiply any milliradian value by 0.0573 to get degree.
Reverse: Milliradian = Degree × 17.45
Worked Examples
Milliradian to Degree Conversion Table
Common milliradian values — factor: 1 mrad = 0.0573 °
| Milliradian (mrad) | Degree (°) | Context |
|---|---|---|
| 0.1 mrad | 0.00573 ° | ~0.006° |
| 0.5 mrad | 0.02865 ° | ~0.029° |
| 1 mrad | 0.0573 ° | ~0.057° / 1m at 1km |
| 5 mrad | 0.2865 ° | ~0.286° |
| 10 mrad | 0.573 ° | ~0.573° |
| 50 mrad | 2.865 ° | ~2.86° |
| 100 mrad | 5.73 ° | ~5.73° |
| 500 mrad | 28.65 ° | ~28.6° |
| 1000 mrad | 57.3 ° | ~57.3° |
| 1571 mrad | 90 ° | 90° |
| 2000 mrad | 114.6 ° | ~115° |
| 3142 mrad | 180 ° | 180° |
| 5000 mrad | 286.5 ° | ~286° |
| 6283 mrad | 360 ° | 360° |
| 1e+04 mrad | 573 ° | ~573° |
Mental Math Tricks
1 mrad = 0.0573 °. Memorize for instant estimates.
Right angle: 90° = 90 °.
Multiply result by 17.45 to recover the original mrad value.
Who Uses This Conversion?
Uses milliradians for scope adjustments — 1 mrad = 10 cm at 100 m.
Calculates fire missions using milliradians for angular measurements and corrections.
Specifies laser beam divergence and lens field of view in milliradians.
Measures antenna beamwidth and angular resolution in milliradians.
Specifies servo and stepper motor angular precision in milliradians.
Computes angular corrections and dispersion in milliradians for weapon systems.
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Frequently Asked Questions
About Milliradian and Degree
Milliradian (mrad)
The milliradian (mrad) is 1/1000 of a radian, approximately 0.0573°. It was adopted by military organizations in the early 20th century for artillery range calculations and is now standard in precision shooting and optics.
The milliradian has a practical property: at 1,000 meters distance, 1 mrad corresponds to approximately 1 meter of lateral displacement. This 'mil-dot' relationship makes range estimation and scope adjustment intuitive for military and hunting applications.
Interesting fact: NATO and many militaries use a slightly rounded version — the NATO mil — where a full circle is defined as 6,400 mils (instead of the mathematically exact 6,283.19 mrad). This makes angular calculations easier in the field.
Degree (°)
The degree (°) divides a full circle into 360 equal parts. This system traces back to ancient Babylonian astronomy, which used a base-60 (sexagesimal) number system. The choice of 360 is practical: it is divisible by 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, and 120.
Degrees remain the dominant angle unit in everyday life, navigation, surveying, and most engineering disciplines. Compass bearings, latitude and longitude, and architectural drawings all use degrees.
Interesting fact: The Babylonians may have chosen 360 because they approximated the solar year as 360 days, making each day of travel correspond to one degree of the Sun's apparent annual motion around the sky.
About Milliradian to Degree Conversion
Converting milliradian to degree is essential in mathematics, physics, engineering, and surveying. Degrees are used in everyday contexts and navigation; radians are the standard in calculus and physics; gradians are common in European surveying. Having accurate conversions ensures correct results across disciplines.
Key reference: a right angle (90°) = 90 °. A full circle (360°) = 360 °. Reverse: 1 ° = 17.45 mrad. Exact factor: 1 mrad = 0.0573 °.
All conversions use IEEE 754 double-precision arithmetic, accurate to at least 8 significant figures.