How to convert radians to milliradians
mrad = rad × 1,000Multiply the value in radians by 1,000. To go the other way, multiply by 0.001 (or divide by 1,000).
A radian is larger than a milliradian: one radian contains 1,000 milliradians.
Worked examples
- 1 radian1 rad × 1,000 = 1,000 mrad
- 5 radians5 rad × 1,000 = 5,000 mrad
- 10 radians10 rad × 1,000 = 10,000 mrad
- 20 radians20 rad × 1,000 = 20,000 mrad
- 100 radians100 rad × 1,000 = 100,000 mrad
Radians to milliradians conversion table
Values are calculated by the conversion engine and rounded to 8 significant figures.
| Radians (rad) | Milliradians (mrad) |
|---|---|
| 0.1 rad | 100 mrad |
| 0.25 rad | 250 mrad |
| 0.5 rad | 500 mrad |
| 1 rad | 1,000 mrad |
| 2 rad | 2,000 mrad |
| 3 rad | 3,000 mrad |
| 4 rad | 4,000 mrad |
| 5 rad | 5,000 mrad |
| 6 rad | 6,000 mrad |
| 7 rad | 7,000 mrad |
| 8 rad | 8,000 mrad |
| 9 rad | 9,000 mrad |
| 10 rad | 10,000 mrad |
| Radians (rad) | Milliradians (mrad) |
|---|---|
| 12 rad | 12,000 mrad |
| 15 rad | 15,000 mrad |
| 20 rad | 20,000 mrad |
| 25 rad | 25,000 mrad |
| 30 rad | 30,000 mrad |
| 40 rad | 40,000 mrad |
| 50 rad | 50,000 mrad |
| 75 rad | 75,000 mrad |
| 100 rad | 100,000 mrad |
| 250 rad | 250,000 mrad |
| 500 rad | 500,000 mrad |
| 1,000 rad | 1,000,000 mrad |
About the units
Radian (rad)
The angle subtended by an arc equal in length to the radius; 2π rad make a full turn, so 1 rad ≈ 57.2958°.
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 radian?
There are 1,000 milliradians in one radian, and this value is exact by definition.
How do I convert radians to milliradians?
Multiply the number of radians by 1,000. For example, 10 rad × 1,000 = 10,000 mrad.
How many radians are in one milliradian?
One milliradian equals 0.001 radians. That is the reverse factor, 1 ÷ 1,000.
What is 10 radians in milliradians?
10 rad = 10,000 mrad.
Is this rad 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.