Use the below online Second of arc to Milliradian converter to convert an angle second of arc to milliradian:

Milliradian

A Milliradian, often called as mil or mrad is a unit of measurement of an angle which is defined as a thousanth of the radian (0.001 radian), meaning that a full circle of 360 degree equals to 2000π or approximately 6283 milliradians.

Second of arc

A Second of arc or arcsecond is a unit of measurement of an angle which is equal to 1/60 of an arcminute or 1/3600 of a degree or π/648000 of a radian. The standard symbol for the arcsecond is the double prime(“) or double quote. Thus One arcsecond is written as 1”. It is also abbreviated as arcsec or asec.

How to convert second of arc to milliradian

A Second of arc = 1/3600 degree
Then, 1° = 3600 arcsec
A full circle (360°) = 2000π milliradians
Then, 1° = 2000π/360 milliradians
Therefore, 3600 arcsec = 2000π/360 milliradians
Then, 1 arcsec = (2000π/360)/3600 = 0.0048 milliradians
Thus 1 arcsec = 0.0048 mrad

Example 1:

Convert 15 second of arc to milliradian
1 arcsec = 0.0048 mrad
Therefore, 15 arcsec = 15 * 0.0048 = 0.072 mrad

Example 2:

Convert 50 second of arc to milliradian
1 arcsec = 0.0048 mrad
Therefore, 50 arcsec = 50 * 0.0048 = 0.24 mrad

Second of arc to Milliradian conversion table

Second of arc(arcsec)Milliradian(mrad)
00
10.0048
20.0096
30.0144
40.0192
50.024
60.0288
70.0336
80.0384
90.0432
100.048
110.0528
120.0576
130.0624
140.0672
150.072
200.096
500.24
1000.48

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