Radians to Seconds of Arc Converter
Convert radians (rad) to seconds of arc (″), with the formula, a conversion table and exact factors.
Change the values and press Calculate to work out your own figures.
Enter an angle, choose its unit and the unit you want. The answer is exact until it is shown, and the same value appears in every other unit.
Show the working
- 1 rad = 206264.806247 ″
- 1 × 206264.806247 = 206264.806247 ″
How to convert radians to seconds of arc
1 rad = 206,264.806247 ″, so multiply by 206,264.806247 to go from radians to seconds of arc. Going the other way, 1 ″ = 4.8481368111 × 10⁻⁶ rad.
″ = rad × 206,264.806247 rad = ″ × 4.8481368111
Worked example:
1 rad = 206264.806247 ″ 5 × 206264.806247 = 1031324.03124 ″
Radians to seconds of arc table
| Radians | Seconds of Arc |
|---|---|
| 1 rad | 206,264.806247 ″ |
| 2 rad | 412,529.612494 ″ |
| 3 rad | 618,794.418741 ″ |
| 4 rad | 825,059.224988 ″ |
| 5 rad | 1,031,324.03124 ″ |
| 6 rad | 1,237,588.83748 ″ |
| 7 rad | 1,443,853.64373 ″ |
| 8 rad | 1,650,118.44998 ″ |
| 9 rad | 1,856,383.25622 ″ |
| 10 rad | 2,062,648.06247 ″ |
| 15 rad | 3,093,972.09371 ″ |
| 20 rad | 4,125,296.12494 ″ |
| 25 rad | 5,156,620.15618 ″ |
| 30 rad | 6,187,944.18741 ″ |
| 40 rad | 8,250,592.24988 ″ |
| 50 rad | 10,313,240.3124 ″ |
| 75 rad | 15,469,860.4685 ″ |
| 100 rad | 20,626,480.6247 ″ |
| 250 rad | 51,566,201.5618 ″ |
| 500 rad | 103,132,403.124 ″ |
| 1000 rad | 206,264,806.247 ″ |
About the units
- Radians (rad)
- Radians, a metric unit. Definition: BIPM SI Brochure, 9th edition (SI units, prefixes and units accepted for use with the SI).
- Seconds of Arc (″)
- Seconds of arc, a metric unit. Involves π, which no fraction equals exactly; this converter uses π to 50 significant digits, far beyond the 12 digits shown. Definition: BIPM SI Brochure, 9th edition (SI units, prefixes and units accepted for use with the SI).