Arcseconds to Milliradians (″ → mrad)
Formula
1 ″ = 0.0048481368110953596 mradConversion Table
| ″ | mrad |
|---|---|
| 0 | 0 |
| 1.0000 | 0.0048481 |
| 2.0000 | 0.0096963 |
| 3.0000 | 0.014544 |
| 4.0000 | 0.019393 |
| 5.0000 | 0.024241 |
| 6.0000 | 0.029089 |
| 7.0000 | 0.033937 |
| 8.0000 | 0.038785 |
| 9.0000 | 0.043633 |
| 10.000 | 0.048481 |
| 11.000 | 0.053330 |
| 12.000 | 0.058178 |
| 13.000 | 0.063026 |
| 14.000 | 0.067874 |
| 15.000 | 0.072722 |
| 16.000 | 0.077570 |
| 17.000 | 0.082418 |
| 18.000 | 0.087266 |
| 19.000 | 0.092115 |
| ″ | mrad |
|---|---|
| 20.000 | 0.096963 |
| 21.000 | 0.10181 |
| 22.000 | 0.10666 |
| 23.000 | 0.11151 |
| 24.000 | 0.11636 |
| 25.000 | 0.12120 |
| 26.000 | 0.12605 |
| 27.000 | 0.13090 |
| 28.000 | 0.13575 |
| 29.000 | 0.14060 |
| 30.000 | 0.14544 |
| 31.000 | 0.15029 |
| 32.000 | 0.15514 |
| 33.000 | 0.15999 |
| 34.000 | 0.16484 |
| 35.000 | 0.16968 |
| 36.000 | 0.17453 |
| 37.000 | 0.17938 |
| 38.000 | 0.18423 |
| 39.000 | 0.18908 |
| ″ | mrad |
|---|---|
| 40.000 | 0.19393 |
| 41.000 | 0.19877 |
| 42.000 | 0.20362 |
| 43.000 | 0.20847 |
| 44.000 | 0.21332 |
| 45.000 | 0.21817 |
| 46.000 | 0.22301 |
| 47.000 | 0.22786 |
| 48.000 | 0.23271 |
| 49.000 | 0.23756 |
| 50.000 | 0.24241 |
| 51.000 | 0.24725 |
| 52.000 | 0.25210 |
| 53.000 | 0.25695 |
| 54.000 | 0.26180 |
| 55.000 | 0.26665 |
| 56.000 | 0.27150 |
| 57.000 | 0.27634 |
| 58.000 | 0.28119 |
| 59.000 | 0.28604 |
| ″ | mrad |
|---|---|
| 60.000 | 0.29089 |
| 61.000 | 0.29574 |
| 62.000 | 0.30058 |
| 63.000 | 0.30543 |
| 64.000 | 0.31028 |
| 65.000 | 0.31513 |
| 66.000 | 0.31998 |
| 67.000 | 0.32483 |
| 68.000 | 0.32967 |
| 69.000 | 0.33452 |
| 70.000 | 0.33937 |
| 71.000 | 0.34422 |
| 72.000 | 0.34907 |
| 73.000 | 0.35391 |
| 74.000 | 0.35876 |
| 75.000 | 0.36361 |
| 76.000 | 0.36846 |
| 77.000 | 0.37331 |
| 78.000 | 0.37815 |
| 79.000 | 0.38300 |
Arcseconds to Milliradians Conversion
Converting Arcseconds (″) to Milliradians (mrad) is a common angle conversion. 1 ″ equals 0.004848 mrad. For example, 100 ″ is equal to 0.484814 mrad.
Quick Mental Math: Arcseconds to Milliradians
1 radian is about 206,265 arcseconds, so 103,133 arcseconds is about 500 milliradians.
Why is converting Arcseconds to Milliradians tricky?
arcseconds 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 ″ = 0.004848 mrad. 5 ″ = 0.024241 mrad. 10 ″ = 0.048481 mrad. 25 ″ = 0.121203 mrad. 50 ″ = 0.242407 mrad. 100 ″ = 0.484814 mrad.
What is Arcseconds?
Arcseconds (″) is a unit of angle. An arcsecond is 1/60 of an arcminute or 1/3600 of one degree. This unit represents 1/1,296,000 of a full circle and is used for very precise angular measurements in astronomy and optics [iso-80000]. One arcsecond equals exactly 1/60 of an arcminute. Divisions of degrees into arcseconds originated from the sexagesimal system used by ancient astronomers and were standardized by international bodies for use in precise angular measurements [iso-80000]. Arcseconds are critical in astronomical observations for locating stars and planets with precision. Surveying and satellite navigation systems also rely on arcseconds globally [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 second, arc sec, arcsec, arseconds, milli radian, millirad, miliradian, mradn, milirads. All of these refer to the Arcseconds to Milliradians conversion.