Arcseconds to Radians Converter
How to convert arcseconds to radians
radians = arcseconds ÷ 206,264.806
To convert arcseconds to radians, divide the number of arcseconds by 206,264.806.
1″ = 0.00000484813681 rad
Examples
- One degree: 3,600″ ÷ 206,264.806 = 0.0174532925 rad
- One arcminute: 60″ ÷ 206,264.806 = 0.000290888209 rad
Arcseconds to radians conversion table
| Arcseconds (″) | Radians (rad) |
|---|---|
| 1″ | 0.00000484813681 rad |
| 5″ | 0.0000242406841 rad |
| 10″ | 0.0000484813681 rad |
| 30″ | 0.000145444104 rad |
| 60″ | 0.000290888209 rad |
| 120″ | 0.000581776417 rad |
| 300″ | 0.00145444104 rad |
| 600″ | 0.00290888209 rad |
| 900″ | 0.00436332313 rad |
| 1,800″ | 0.00872664626 rad |
| 3,600″ | 0.0174532925 rad |
| 7,200″ | 0.034906585 rad |
| 36,000″ | 0.174532925 rad |
Unit definitions
- Arcsecond (″)
- An arcsecond, or second of arc, is 1/60 of an arcminute, or 1/3600 of a degree. It is used in astronomy and precise surveying.
- Radian (rad)
- The radian is the SI unit of angle: the angle at the center of a circle subtended by an arc equal in length to the radius. A full turn is 2π radians, so one radian is 180/π degrees, about 57.2958°.