Arcminutes to Milliradians (′ → mrad)
Formula
1 ′ = 0.29088820866572157 mradConversion Table
| ′ | mrad |
|---|---|
| 0 | 0 |
| 1.0000 | 0.29089 |
| 2.0000 | 0.58178 |
| 3.0000 | 0.87266 |
| 4.0000 | 1.1636 |
| 5.0000 | 1.4544 |
| 6.0000 | 1.7453 |
| 7.0000 | 2.0362 |
| 8.0000 | 2.3271 |
| 9.0000 | 2.6180 |
| 10.000 | 2.9089 |
| 11.000 | 3.1998 |
| 12.000 | 3.4907 |
| 13.000 | 3.7815 |
| 14.000 | 4.0724 |
| 15.000 | 4.3633 |
| 16.000 | 4.6542 |
| 17.000 | 4.9451 |
| 18.000 | 5.2360 |
| 19.000 | 5.5269 |
| ′ | mrad |
|---|---|
| 20.000 | 5.8178 |
| 21.000 | 6.1087 |
| 22.000 | 6.3995 |
| 23.000 | 6.6904 |
| 24.000 | 6.9813 |
| 25.000 | 7.2722 |
| 26.000 | 7.5631 |
| 27.000 | 7.8540 |
| 28.000 | 8.1449 |
| 29.000 | 8.4358 |
| 30.000 | 8.7266 |
| 31.000 | 9.0175 |
| 32.000 | 9.3084 |
| 33.000 | 9.5993 |
| 34.000 | 9.8902 |
| 35.000 | 10.181 |
| 36.000 | 10.472 |
| 37.000 | 10.763 |
| 38.000 | 11.054 |
| 39.000 | 11.345 |
| ′ | mrad |
|---|---|
| 40.000 | 11.636 |
| 41.000 | 11.926 |
| 42.000 | 12.217 |
| 43.000 | 12.508 |
| 44.000 | 12.799 |
| 45.000 | 13.090 |
| 46.000 | 13.381 |
| 47.000 | 13.672 |
| 48.000 | 13.963 |
| 49.000 | 14.254 |
| 50.000 | 14.544 |
| 51.000 | 14.835 |
| 52.000 | 15.126 |
| 53.000 | 15.417 |
| 54.000 | 15.708 |
| 55.000 | 15.999 |
| 56.000 | 16.290 |
| 57.000 | 16.581 |
| 58.000 | 16.872 |
| 59.000 | 17.162 |
| ′ | mrad |
|---|---|
| 60.000 | 17.453 |
| 61.000 | 17.744 |
| 62.000 | 18.035 |
| 63.000 | 18.326 |
| 64.000 | 18.617 |
| 65.000 | 18.908 |
| 66.000 | 19.199 |
| 67.000 | 19.490 |
| 68.000 | 19.780 |
| 69.000 | 20.071 |
| 70.000 | 20.362 |
| 71.000 | 20.653 |
| 72.000 | 20.944 |
| 73.000 | 21.235 |
| 74.000 | 21.526 |
| 75.000 | 21.817 |
| 76.000 | 22.108 |
| 77.000 | 22.398 |
| 78.000 | 22.689 |
| 79.000 | 22.980 |
Arcminutes to Milliradians Conversion
Converting Arcminutes (′) to Milliradians (mrad) is a common angle conversion. 1 ′ equals 0.290888 mrad. For example, 100 ′ is equal to 29.088821 mrad.
Quick Mental Math: Arcminutes to Milliradians
1 radian is about 3,438 arcminutes, so 1,719 arcminutes is about 500 milliradians.
Why is converting Arcminutes to Milliradians tricky?
arcminutes to milliradians hides a pi-based factor, so treating the step as a clean base-10 shift gives the wrong size.
Quick Reference Values
1 ′ = 0.290888 mrad. 5 ′ = 1.454441 mrad. 10 ′ = 2.908882 mrad. 25 ′ = 7.272205 mrad. 50 ′ = 14.54441 mrad. 100 ′ = 29.088821 mrad.
What is Arcminutes?
Arcminutes (′) is a unit of angle. An arcminute is a unit of angular measurement equal to 1/60 of one degree. It corresponds to 1/21,600 of a full circle or precisely 1/60 of a degree, where one degree equals 1/360 of a full rotation [iso-80000]. Arcminutes are used to measure small angles in astronomy and navigation. The concept of subdividing degrees into minutes dates back to ancient Babylonian astronomy and was formalized in modern angular measurement systems by international standards organizations in the 20th century [iso-80000]. Arcminutes are widely used in astronomy worldwide for specifying celestial coordinates and resolving power of telescopes. They also appear in cartography and geodesy standards internationally [nist-si-guide].
What is Milliradians?
Milliradians (mrad) is a unit of angle. The milliradian (mrad) is an angular measurement unit equal to one-thousandth of a radian. Since 1 radian equals approximately 57.2958 degrees, 1 mrad equals 0.0573 degrees. It is primarily used in ballistics, optics, and surveying for angular precision [bipm-si-brochure]. The radian was formally defined in the early 20th century as a standard SI unit of angle. The milliradian emerged as a practical subdivision for fine angular measurements, adopted by military and scientific communities for targeting and measurement accuracy [nist-si-guide]. Milliradians are standard in NATO countries' military aiming devices, European surveying, and optical instrumentation globally. The unit is recognized by BIPM as a derived SI unit for plane angle [bipm-si-brochure].
Common Misspellings
People often search for this conversion using these alternate spellings: arc minute, arc min, arcminuteses, arcminutess, milli radian, millirad, miliradian, mradn, milirads. All of these refer to the Arcminutes to Milliradians conversion.