Convert degrees to milliradians
Convert degrees to milliradians by entering a value below.
How to Convert Degrees to Milliradians
The degree and milliradian are both units of angle. 1 degree equals 17.45329252 milliradians. This means to convert degrees to milliradians, you multiply by 17.45329252.
Formula
Step-by-Step Example
Convert 5 ° to milliradians:
We need to convert degrees to milliradians
Since 1 ° = 17.45329252 mrad, multiply by 17.45329252
5 × 17.45329252 = 87.2664626
5 ° = 87.2664626 mrad
Degree to Milliradian Conversion Table
Quick reference table for common degree to milliradian conversions. Click any value for detailed calculation.
| Degrees (°) | Milliradians (mrad) |
|---|---|
| 1 ° | 17.45329252 mrad |
| 2 ° | 34.90658504 mrad |
| 5 ° | 87.2664626 mrad |
| 10 ° | 174.5329252 mrad |
| 15 ° | 261.7993878 mrad |
| 20 ° | 349.0658504 mrad |
| 25 ° | 436.332313 mrad |
| 50 ° | 872.664626 mrad |
| 100 ° | 1745.329252 mrad |
About These Units
Degree (°)
A degree (°) is 1/360 of a full rotation, the most widely used angle unit. Degrees measure geographic coordinates, temperature, slopes, and rotations. A right angle is 90°, straight angle is 180°, full circle is 360°. Each degree contains 60 arcminutes.
Milliradian (mrad)
A milliradian (mrad or mil) equals 0.001 radians or approximately 0.057°. Milliradians are used in military ballistics, optics, and laser rangefinding. NATO uses 6400 mils per circle. At 1000 meters, 1 mrad subtends 1 meter—convenient for range estimation.
Frequently Asked Questions
How do I convert degrees to milliradians?
To convert degrees to milliradians, multiply the value by 17.45329252. For example, 10 ° = 174.5329252 mrad.
How many milliradians are in 1 degree?
1 degree equals 17.45329252 milliradians.
What is the formula for degrees to milliradians?
The formula is: mrad = ° × 17.45329252.