Seconds of Arc Conversion Calculator
Enter a value in seconds of arc below to convert to another unit of angle.
Results:
What Is a Second of Arc?
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A second of arc is a unit used to measure angle.
A second of arc is sometimes also referred to as an arc second or arcsecond. Seconds of arc can be abbreviated as arcsec, and are also sometimes abbreviated as asec. For example, 1 second of arc can be written as 1 arcsec or 1 asec.
The second of arc is most commonly expressed using a double prime (″), though a double quote is often used as well. For example, 1 second of arc is most often written as 1″.
Uses
Arc seconds are commonly used with arc minutes and degrees. They’re used frequently in astronomy, navigation, altitude, latitude, and longitude measurements.
How Much Is a Second of Arc?
The second of arc is a unit of angle equal to 1/60th of one minute of arc or 1/3,600 of one degree.
How to Convert Seconds of Arc
To convert seconds of arc to another unit of angle, you need to multiply the value by a conversion factor. A conversion factor is a numerical value used to change the units of a measurement without changing the value.[1]
You can find the conversion factors for seconds of arc in the conversion table below.
Then, multiply the angle measurement by the conversion factor to find the equivalent value in the desired unit of measurement.
seconds of arc × conversion factor = result
You can also use a calculator, such as one of the converters below, for the conversion.
Seconds of Arc Conversion Table
| seconds of arc | radians | milliradians | degrees | minutes of arc | gradians | revolutions | circles | Mils (NATO) |
|---|---|---|---|---|---|---|---|---|
| 1" | 0.0000048481 rad | 0.004848 mrad | 0.000278° | 0.016667' | 0.000309g | 0.0000007716 r | 0.0000007716 cir | 0.004938 mil |
| 2" | 0.0000096963 rad | 0.009696 mrad | 0.000556° | 0.033333' | 0.000617g | 0.0000015432 r | 0.0000015432 cir | 0.009877 mil |
| 3" | 0.000014544 rad | 0.014544 mrad | 0.000833° | 0.05' | 0.000926g | 0.0000023148 r | 0.0000023148 cir | 0.014815 mil |
| 4" | 0.000019393 rad | 0.019393 mrad | 0.001111° | 0.066667' | 0.001235g | 0.0000030864 r | 0.0000030864 cir | 0.019753 mil |
| 5" | 0.000024241 rad | 0.024241 mrad | 0.001389° | 0.083333' | 0.001543g | 0.000003858 r | 0.000003858 cir | 0.024691 mil |
| 6" | 0.000029089 rad | 0.029089 mrad | 0.001667° | 0.1' | 0.001852g | 0.0000046296 r | 0.0000046296 cir | 0.02963 mil |
| 7" | 0.000033937 rad | 0.033937 mrad | 0.001944° | 0.116667' | 0.00216g | 0.0000054012 r | 0.0000054012 cir | 0.034568 mil |
| 8" | 0.000038785 rad | 0.038785 mrad | 0.002222° | 0.133333' | 0.002469g | 0.0000061728 r | 0.0000061728 cir | 0.039506 mil |
| 9" | 0.000043633 rad | 0.043633 mrad | 0.0025° | 0.15' | 0.002778g | 0.0000069444 r | 0.0000069444 cir | 0.044444 mil |
| 10" | 0.000048481 rad | 0.048481 mrad | 0.002778° | 0.166667' | 0.003086g | 0.000007716 r | 0.000007716 cir | 0.049383 mil |
| 11" | 0.00005333 rad | 0.05333 mrad | 0.003056° | 0.183333' | 0.003395g | 0.0000084877 r | 0.0000084877 cir | 0.054321 mil |
| 12" | 0.000058178 rad | 0.058178 mrad | 0.003333° | 0.2' | 0.003704g | 0.0000092593 r | 0.0000092593 cir | 0.059259 mil |
| 13" | 0.000063026 rad | 0.063026 mrad | 0.003611° | 0.216667' | 0.004012g | 0.000010031 r | 0.000010031 cir | 0.064198 mil |
| 14" | 0.000067874 rad | 0.067874 mrad | 0.003889° | 0.233333' | 0.004321g | 0.000010802 r | 0.000010802 cir | 0.069136 mil |
| 15" | 0.000072722 rad | 0.072722 mrad | 0.004167° | 0.25' | 0.00463g | 0.000011574 r | 0.000011574 cir | 0.074074 mil |
| 16" | 0.00007757 rad | 0.07757 mrad | 0.004444° | 0.266667' | 0.004938g | 0.000012346 r | 0.000012346 cir | 0.079012 mil |
| 17" | 0.000082418 rad | 0.082418 mrad | 0.004722° | 0.283333' | 0.005247g | 0.000013117 r | 0.000013117 cir | 0.083951 mil |
| 18" | 0.000087266 rad | 0.087266 mrad | 0.005° | 0.3' | 0.005556g | 0.000013889 r | 0.000013889 cir | 0.088889 mil |
| 19" | 0.000092115 rad | 0.092115 mrad | 0.005278° | 0.316667' | 0.005864g | 0.00001466 r | 0.00001466 cir | 0.093827 mil |
| 20" | 0.000096963 rad | 0.096963 mrad | 0.005556° | 0.333333' | 0.006173g | 0.000015432 r | 0.000015432 cir | 0.098765 mil |
Second of Arc Conversion Calculators
You can also convert angle using one of our second of arc converters below.
- seconds of arc to radians converter
- seconds of arc to milliradians converter
- seconds of arc to degrees converter
- seconds of arc to minutes of arc converter
- seconds of arc to gradians converter
- seconds of arc to revolutions converter
- seconds of arc to circles converter
- seconds of arc to mils (NATO) converter
References
- National Institute of Standards & Technology, Unit Conversion, https://www.nist.gov/pml/owm/metric-si/unit-conversion