Use the below online Second of arc to Radian converter to convert an angle second of arc to radian:
Radian
Radian is a unit of measurement of an angle. Radian of one circle is the length of circumference divided by the radius or 2πr/r or 2π. Therefore a full circle has 2π radians which is equal to 360 degrees. Thus one radian is equal to 180/π degrees.
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 radian
A Second of arc = 1/3600 degree
Then, 1° = 3600 arcsec
A full circle (360°) = 2π radians
Then, 1° = 2π/360 radians
Therefore, 3600 arcsec = 2π/360 radians
Then, 1 arcsec = (2π/360)/3600 = 0.000004 radians
Thus 1 arcsec = 0.000004 rad
Example 1:
Convert 15 second of arc to radian
1 arcsec = 0.000004 rad
Therefore, 15 arcsec = 15 * 0.000004 = 0.00006 rad
Example 2:
Convert 50 second of arc to radian
1 arcsec = 0.000004 rad
Therefore, 50 arcsec = 50 * 0.000004 = 0.0002 rad
Second of arc to Radian conversion table
| Second of arc(arcsec) | Radian(rad) |
|---|---|
| 0 | 0 |
| 1 | 0.000004 |
| 2 | 0.000008 |
| 3 | 0.000012 |
| 4 | 0.000016 |
| 5 | 0.00002 |
| 6 | 0.000024 |
| 7 | 0.000028 |
| 8 | 0.000032 |
| 9 | 0.000036 |
| 10 | 0.00004 |
| 11 | 0.000044 |
| 12 | 0.000048 |
| 13 | 0.000052 |
| 14 | 0.0042 |
| 15 | 0.000056 |
| 20 | 0.00008 |
| 50 | 0.0002 |
| 100 | 0.0004 |
Second of arc other converters
- Second of arc to Degree converter
- Second of arc to Gradian converter
- Second of arc to Milliradian converter
- Second of arc to Minutes of arc converter