Converting between arcseconds and radians is fundamental in mathematics, navigation, surveying, and engineering. Degrees are most common in everyday use, radians in calculus and physics, and gradians in surveying.
1 arcsec = 0.000005 rad
1 (one) arcsecond(s) is equal to 0.000005 (zero) radian(s)
What is arcsecond?
The arcsecond (″) equals 1/60 of an arcminute or 1/3,600 of a degree. It is used in astronomy for measuring star positions, in geodesy for precise coordinates, and in telescope specifications.
What is radian?
The radian (rad) is the SI unit of angle. One radian is the angle subtended at the centre of a circle by an arc equal in length to the radius. A full circle equals 2π radians. It is essential in calculus and physics.
How to convert arcsec to rad
To convert Arcsecond to Radian, multiply the value by 0.0000048481.
1 arcsec × 0.0000048481 = 0.000005 rad
Common Conversions
| arcsec | rad (Radian) | Description |
|---|---|---|
| 1 ″ | 0.000005 rad | 1 Arcsecond(s) = 0.000005 Radian(s) |
| 2 ″ | 0.00001 rad | 2 Arcsecond(s) = 0.00001 Radian(s) |
| 5 ″ | 0.000024 rad | 5 Arcsecond(s) = 0.000024 Radian(s) |
| 10 ″ | 0.000048 rad | 10 Arcsecond(s) = 0.000048 Radian(s) |
| 25 ″ | 0.000121 rad | 25 Arcsecond(s) = 0.000121 Radian(s) |
| 50 ″ | 0.000242 rad | 50 Arcsecond(s) = 0.000242 Radian(s) |
| 100 ″ | 0.000485 rad | 100 Arcsecond(s) = 0.000485 Radian(s) |
| 250 ″ | 0.001212 rad | 250 Arcsecond(s) = 0.001212 Radian(s) |
| 500 ″ | 0.002424 rad | 500 Arcsecond(s) = 0.002424 Radian(s) |
| 1000 ″ | 0.004848 rad | 1000 Arcsecond(s) = 0.004848 Radian(s) |
| 2500 ″ | 0.01212 rad | 2500 Arcsecond(s) = 0.01212 Radian(s) |
| 5000 ″ | 0.024241 rad | 5000 Arcsecond(s) = 0.024241 Radian(s) |
| 10000 ″ | 0.048481 rad | 10000 Arcsecond(s) = 0.048481 Radian(s) |
Convert Arcsecond to other units
| arcsec | Unit | Description |
|---|---|---|
| 1 ″ | 0.000278 ° | Degree |
| 1 ″ | 0.000005 rad | Radian |
| 1 ″ | 0.000309 grad | Gradian |
| 1 ″ | 0.016667 ′ | Arcminute |