radians to arc-seconds
Convert radian to arc-second — instant, free, with the formula shown.
1 rad=206264.8062471 ″
How to convert radian to arc-second
To convert radian to arc-second, multiply by 206264.8062471:
″ = rad × 206264.8062471
For example, 10 rad × 206264.806247 = 2062648.06247096 ″.
rad to ″ conversion table
| radians (rad) | arc-seconds (″) |
|---|---|
| 1 rad | 206264.8062471 ″ |
| 2 rad | 412529.61249419 ″ |
| 5 rad | 1031324.03123548 ″ |
| 10 rad | 2062648.06247096 ″ |
| 25 rad | 5156620.15617741 ″ |
| 50 rad | 10313240.31235482 ″ |
| 100 rad | 20626480.62470964 ″ |
| 250 rad | 51566201.56177409 ″ |
| 500 rad | 103132403.12354818 ″ |
| 1000 rad | 206264806.24709636 ″ |
Other radian conversions
Convert to arc-second from another unit
rad to ″ — frequently asked
How many arc-seconds are in 1 radian?
1 radian = 206264.8062471 arc-seconds (rad × 206264.806247 = ″).
What is the formula to convert radian to arc-second?
Multiply your radian value by 206264.8062471 to get arc-second.
How do I convert 10 radians to arc-seconds?
10 rad = 2062648.06247096 ″. For 100 rad the answer is 20626480.62470964 ″. Use the calculator on this page for any other value.
When to convert radian to arc-second
1Mathematics and trigonometry (radians)
2Surveying and navigation (degrees, minutes, seconds)
3Engineering (mrad for laser sights, optics)
4Astronomy (arc-seconds for stellar parallax)
Angle conversion — common questions
Why are radians used in math instead of degrees?
Because in radians, derivatives and series of trig functions take their simplest form (d/dx sin(x) = cos(x) only when x is in radians).
How many degrees in 1 radian?
1 rad = 180/π ≈ 57.2958°.
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