How to convert degrees to milliradians
mrad = ° × 17.45329252Multiply the value in degrees by 17.45329252. To go the other way, multiply by 0.05729577951 (or divide by 17.45329252).
A degree is larger than a milliradian: one degree contains 17.45329252 milliradians.
Worked examples
- 1 degree1 ° × 17.45329252 = 17.45329252 mrad
- 5 degrees5 ° × 17.45329252 = 87.2664626 mrad
- 10 degrees10 ° × 17.45329252 = 174.5329252 mrad
- 20 degrees20 ° × 17.45329252 = 349.0658504 mrad
- 100 degrees100 ° × 17.45329252 = 1,745.329252 mrad
Degrees to milliradians conversion table
Values are calculated by the conversion engine and rounded to 8 significant figures.
| Degrees (°) | Milliradians (mrad) |
|---|---|
| 0.1 ° | 1.7453293 mrad |
| 0.25 ° | 4.3633231 mrad |
| 0.5 ° | 8.7266463 mrad |
| 1 ° | 17.453293 mrad |
| 2 ° | 34.906585 mrad |
| 3 ° | 52.359878 mrad |
| 4 ° | 69.81317 mrad |
| 5 ° | 87.266463 mrad |
| 6 ° | 104.71976 mrad |
| 7 ° | 122.17305 mrad |
| 8 ° | 139.62634 mrad |
| 9 ° | 157.07963 mrad |
| 10 ° | 174.53293 mrad |
| Degrees (°) | Milliradians (mrad) |
|---|---|
| 12 ° | 209.43951 mrad |
| 15 ° | 261.79939 mrad |
| 20 ° | 349.06585 mrad |
| 25 ° | 436.33231 mrad |
| 30 ° | 523.59878 mrad |
| 40 ° | 698.1317 mrad |
| 50 ° | 872.66463 mrad |
| 75 ° | 1,308.9969 mrad |
| 100 ° | 1,745.3293 mrad |
| 250 ° | 4,363.3231 mrad |
| 500 ° | 8,726.6463 mrad |
| 1,000 ° | 17,453.293 mrad |
About the units
Degree (°)
One 360th of a full turn. One degree equals 0.01745329252 radians (rad).
Milliradian (mrad)
The milliradian (mrad) is a unit of angle in the International System of Units (SI). One milliradian equals 0.001 radians (rad).
Frequently asked questions
How many milliradians are in one degree?
There are 17.45329252 milliradians in one degree, and this value is exact by definition.
How do I convert degrees to milliradians?
Multiply the number of degrees by 17.45329252. For example, 10 ° × 17.45329252 = 174.5329252 mrad.
How many degrees are in one milliradian?
One milliradian equals 0.05729577951 degrees. That is the reverse factor, 1 ÷ 17.45329252.
What is 10 degrees in milliradians?
10 ° = 174.5329252 mrad.
Is this ° to mrad converter accurate?
Yes. Both units are defined exactly in terms of SI units, so the conversion factor is exact; results are shown to 12 significant figures by default and you can change precision in the converter. Calculations run in your browser using the same tested engine that generated this page.