Seconds of Arc to Radians Converter
Convert seconds of arc (″) to radians (rad), 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 ″ = 4.8481368111e-6 rad
- 1 × 4.8481368111e-6 = 4.8481368111e-6 rad
How to convert seconds of arc to radians
1 ″ = 4.8481368111 × 10⁻⁶ rad, so multiply by 4.8481368111 to go from seconds of arc to radians. Going the other way, 1 rad = 206,264.806247 ″.
rad = ″ × 4.8481368111 ″ = rad × 206,264.806247
Worked example:
1 ″ = 4.8481368111e-6 rad 5 × 4.8481368111e-6 = 2.42406840555e-5 rad
Seconds of Arc to radians table
| Seconds of Arc | Radians |
|---|---|
| 1 ″ | 4.8481368111 × 10⁻⁶ rad |
| 2 ″ | 9.69627362219 × 10⁻⁶ rad |
| 3 ″ | 1.45444104333 × 10⁻⁵ rad |
| 4 ″ | 1.93925472444 × 10⁻⁵ rad |
| 5 ″ | 2.42406840555 × 10⁻⁵ rad |
| 6 ″ | 2.90888208666 × 10⁻⁵ rad |
| 7 ″ | 3.39369576777 × 10⁻⁵ rad |
| 8 ″ | 3.87850944888 × 10⁻⁵ rad |
| 9 ″ | 4.36332312999 × 10⁻⁵ rad |
| 10 ″ | 4.8481368111 × 10⁻⁵ rad |
| 15 ″ | 7.27220521664 × 10⁻⁵ rad |
| 20 ″ | 9.69627362219 × 10⁻⁵ rad |
| 25 ″ | 0.000121203420277 rad |
| 30 ″ | 0.000145444104333 rad |
| 40 ″ | 0.000193925472444 rad |
| 50 ″ | 0.000242406840555 rad |
| 75 ″ | 0.000363610260832 rad |
| 100 ″ | 0.00048481368111 rad |
| 250 ″ | 0.00121203420277 rad |
| 500 ″ | 0.00242406840555 rad |
| 1000 ″ | 0.0048481368111 rad |
About the units
- 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).
- Radians (rad)
- Radians, a metric unit. Definition: BIPM SI Brochure, 9th edition (SI units, prefixes and units accepted for use with the SI).