Milliradian (mrad)
One thousandth of a radian.
What is a milliradian?
- Symbol
- mrad
- Quantity
- Angle
- Unit system
- SI
- Definition
- One thousandth of a radian.
- Exact
- Yes, the value is exact by definition
- Source
- SI Brochure, 9th edition (BIPM, 2019)
Common applications
Used in rifle scopes, artillery and optics for small angles (often called mil or mrad).
Milliradian in other angle units
- 1 mrad = 0.001 radRadian
- 1 mrad ≈ 0.05729577951 °Milliradian to Degree converter
- 1 mrad ≈ 3.437746771 ′Arcminute
- 1 mrad ≈ 206.2648062 ″Arcsecond
- 1 mrad ≈ 0.06366197724 gradGradian (gon)
- 1 mrad ≈ 0.0001591549431 revTurn (revolution)
Milliradian quick reference
| Milliradian | Degree | Radian | Arcminute |
|---|---|---|---|
| 1 mrad | ≈ 0.05729577951 ° | = 0.001 rad | ≈ 3.437746771 ′ |
| 10 mrad | ≈ 0.5729577951 ° | = 0.01 rad | ≈ 34.37746771 ′ |
| 100 mrad | ≈ 5.729577951 ° | = 0.1 rad | ≈ 343.7746771 ′ |
| 1000 mrad | ≈ 57.29577951 ° | = 1 rad | ≈ 3437.746771 ′ |
Where the milliradian fits
The next smaller angle unit is the arcminute (′). 1 mrad ≈ 3.437746771 ′, and 1 ′ ≈ 0.2908882087 mrad.
The next larger angle unit is the gradian (grad). 1 mrad ≈ 0.06366197724 grad, and 1 grad ≈ 15.70796327 mrad.
Frequently asked questions
- How many degrees are in one milliradian?
- One milliradian ≈ 0.05729577951 ° (degrees).
- How many radians are in one milliradian?
- One milliradian = 0.001 rad (radians).
- How many arcminutes are in one milliradian?
- One milliradian ≈ 3.437746771 ′ (arcminutes).