Convert Milliradians (mrad) to Degrees (°)
1 milliradian equals 0.0572958 degrees.
Milliradian to Degree Converter
How to Convert Milliradian to Degree
1 milliradian = 0.0572958 degrees
Degree = Milliradian × 0.0572958
Example: 1 mrad × 0.0572958 = 0.0572958°
Reverse Conversion
To convert degrees back to milliradians:
- Remember, 1 degree equals 17.4533 milliradians.
- To convert 0.0572958° to mrad, multiply
0.0572958 x 17.4533, resulting in1 mrad.
Common Milliradian to Degree Conversions
| Milliradian | Degree | Actions |
|---|---|---|
| 1 milliradian | 0.0572958 degrees | |
| 5 milliradians | 0.286479 degrees | |
| 10 milliradians | 0.572958 degrees | |
| 17.453 milliradians | 0.999983 degree |
| Milliradian | Degree | Actions |
|---|---|---|
| 50 milliradians | 2.86479 degrees | |
| 100 milliradians | 5.72958 degrees | |
| 500 milliradians | 28.6479 degrees | |
| 1000 milliradians | 57.2958 degrees |
Milliradians to degrees Conversion Table
Reference table with common milliradians to degrees conversions. All values calculated with high precision.
Milliradians to Degrees Table
0.01 to 50
Milliradians to Degrees Table
100 to 10000000
Degrees to Milliradians Table
0.0001 to 12
Degrees to Milliradians Table
1 to 100000
Definition of Milliradian
- Definition
The milliradian (mrad) is one thousandth of a radian.
It is widely used in ballistics, laser alignment, optical engineering, and instrumentation.
- Exact factor
- 1 mrad = 0.001 rad
- Examples
- 1 mrad ≈ 0.0573°
- 10 mrad = 0.01 rad
Definition of Degree
- Definition
The degree (°) is a non-SI unit of plane angle defined as 1/360 of a full rotation.
It is accepted for use with the SI due to its long-standing practical importance in navigation, surveying, engineering, astronomy, geodesy, and daily measurement.
- Exact factor
- 1° = π/180 rad (exact)
- Examples
- 90° = π/2 rad
- 45° = π/4 rad
- 360° = 1 turn
About the Milliradian
Facts & Uses
- 1 milliradian (mrad) = 0.001 rad ≈ 0.0573° ≈ 3.438 arcminutes. The metric milliangular unit, distinct from the NATO mil (1/6400 vs 1/6283).
- Standard for laser pointing (beam divergence in mrad), optical instrumentation, and European precision shooting.
- Used in physics experiments for small-angle measurements, gyroscopic instruments, and servo positioning in robotics.
- Convenient for far-field beam quality: a typical laser pointer beam diverges 0.5-1.5 mrad, a HeNe laser ~1 mrad, a high-power industrial laser <0.1 mrad.
Curiosities
- 1 mrad subtends 1 m at 1000 m distance exactly — making it a natural unit for sniper range estimation in metric systems (similar to the NATO mil approximation).
- The milliradian and the NATO mil are NOT identical: 1 mrad ≈ 1.018 NATO mils. The 1.8% difference matters for long-range artillery and scientific instruments.
- Telescope eyepiece field-of-view is often spec'd in mrad for astronomical use — useful when calculating sky-tracking rates for astrophotography.
- Approximate equivalents: 1 mrad = 0.001 rad ≈ 0.0573° ≈ 3.438 arcminutes ≈ 1.018 NATO mils.
Sources
About the Degree
Facts & Uses
- Universal everyday angle unit: 1 full circle = 360°. Used in navigation, geometry, surveying, and almost all non-mathematical contexts.
- Standard for compass headings, latitude/longitude, roof pitch, camera fields of view, and geometric construction.
- Subdivisions: 1° = 60 arcminutes (′) = 3600 arcseconds (″); commonly used in astronomy and high-precision surveying.
- Common reference angles: 30°, 45°, 60°, 90° (right angle), 180° (straight angle), 360° (full circle).
Curiosities
- The 360° convention dates back to ancient Babylonian astronomy (~2400 BCE), based on a sexagesimal (base-60) number system and an approximation of 360 days per year.
- 360 was kept partly because of its many divisors: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24… — making fractions of a circle easy without decimals.
- The degree is not part of the SI but is one of the units accepted for use with the SI system.
- Approximate equivalents: 1° = π/180 rad ≈ 0.01745 rad ≈ 1.111 grad.
Sources
Frequently Asked Questions
How many degrees are in one milliradian?
One milliradian equals 0.0572958 degrees. To convert, multiply the milliradian value by 0.0572958. For the reverse, divide the degree value by 0.0572958 (or multiply by 17.4533).
What is 100 milliradians in degrees?
100 milliradians = 5.7296 degrees. This is one of the most commonly searched conversions for this pair.
How precise is the milliradian-to-degree conversion?
The factor 0.0572958 is accurate to 6 significant figures, derived from international measurement standards. Our calculator uses full precision internally.
Looking for the reverse? Convert Degree to Milliradian
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