Milliradian to Gradian Converter
Convert milliradian to gradian instantly. 1 milliradian = 0.063662 gradian.
Milliradian to Gradian Table
| Milliradian | Gradian |
|---|---|
| 1 mrad | 0.063662 grad |
| 5 mrad | 0.31831 grad |
| 10 mrad | 0.63662 grad |
| 30 mrad | 1.909859 grad |
| 45 mrad | 2.864789 grad |
| 90 mrad | 5.729578 grad |
| 180 mrad | 11.459156 grad |
| 360 mrad | 22.918312 grad |
Related Conversions
Quick Answer
Formula: Gradian = Milliradian × 0.06366
Multiply any milliradian value by 0.06366 to get gradian.
Reverse: Milliradian = Gradian × 15.71
Worked Examples
Milliradian to Gradian Conversion Table
Common milliradian values — factor: 1 mrad = 0.06366 grad
| Milliradian (mrad) | Gradian (grad) | Context |
|---|---|---|
| 0.1 mrad | 0.006366 grad | ~0.006° |
| 0.5 mrad | 0.03183 grad | ~0.029° |
| 1 mrad | 0.06366 grad | ~0.057° / 1m at 1km |
| 5 mrad | 0.3183 grad | ~0.286° |
| 10 mrad | 0.6366 grad | ~0.573° |
| 50 mrad | 3.183 grad | ~2.86° |
| 100 mrad | 6.366 grad | ~5.73° |
| 500 mrad | 31.83 grad | ~28.6° |
| 1000 mrad | 63.66 grad | ~57.3° |
| 1571 mrad | 100 grad | 90° |
| 2000 mrad | 127.3 grad | ~115° |
| 3142 mrad | 200 grad | 180° |
| 5000 mrad | 318.3 grad | ~286° |
| 6283 mrad | 400 grad | 360° |
| 1e+04 mrad | 636.6 grad | ~573° |
Mental Math Tricks
1 mrad = 0.06366 grad. Memorize for instant estimates.
Right angle: 90° = 100 grad.
Multiply result by 15.71 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.
Related Conversions
Frequently Asked Questions
About Milliradian and Gradian
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.
Gradian (grad)
The gradian (also called gon or grade) divides a full circle into 400 equal parts, so a right angle equals exactly 100 gradians. It was introduced during the French Revolution as part of the decimal metric system reform in the 1790s.
Gradians are used primarily in surveying, civil engineering, and some European geodetic systems. The advantage: since a right angle = 100 grad, slope percentages and bearing calculations involve simple arithmetic.
Interesting fact: France briefly mandated decimal angles (gradians) in the 1790s alongside the metric system, but the gradian never achieved the same global adoption as the meter and kilogram.
About Milliradian to Gradian Conversion
Converting milliradian to gradian 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°) = 100 grad. A full circle (360°) = 400 grad. Reverse: 1 grad = 15.71 mrad. Exact factor: 1 mrad = 0.06366 grad.
All conversions use IEEE 754 double-precision arithmetic, accurate to at least 8 significant figures.