Degrees to Milli-radians calculator
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Degrees to Milli-radians formula
Use this formula to convert degrees to milli-radians:
Calculation
Enter a valid number above to see the formula with your value substituted step by step.
Degrees to Milli-radians Conversion Table
Reference values for converting Degrees to Milli-radians.
| Degrees (°) | Milli-radians (mrad) |
|---|---|
| 0 ° | 0 mrad |
| 1 ° | 17.4533 mrad |
| 10 ° | 174.5329 mrad |
| 45 ° | 785.3982 mrad |
| 90 ° | 1570.7963 mrad |
| 180 ° | 3141.5927 mrad |
| 360 ° | 6283.1853 mrad |
| 1000 ° | 17453.2925 mrad |
Worked example
Convert 45 Degrees to Milli-radians
Milli-radians = 45 × 2000 × π / 360 = 785.3982 Milli-radians
About these units
Degrees
Degrees are a widely used unit of angular measurement, especially in geometry, trigonometry, and everyday applications. A full circle is divided into 360 degrees, with each degree further divided into 60 minutes and each minute into 60 seconds. Degrees offer an intuitive way to express angles, and they are prevalent in fields ranging from navigation to astronomy, as well as in common day-to-day measurements.
Milli-radians
Milli-radians (mrad) are a unit of angular measurement equal to one-thousandth of a radian. This small unit is used in fields such as ballistics, gunnery, and optics, where precise angular measurements are critical. Milli-radians allow for the calculation of minute angular displacements, distances, and target adjustments.
{"formula":"x * 2000 * π / 360","precision":11,"x_desc":"Degrees","y_desc":"Milli-radians"}