degrees to arc-seconds
Convert degree to arc-second — instant, free, with the formula shown.
1 °=3600 ″
How to convert degree to arc-second
To convert degree to arc-second, multiply by 3600:
″ = ° × 3600
For example, 10 ° × 3600 = 36000 ″.
° to ″ conversion table
| degrees (°) | arc-seconds (″) |
|---|---|
| 1 ° | 3600 ″ |
| 2 ° | 7200 ″ |
| 5 ° | 18000 ″ |
| 10 ° | 36000 ″ |
| 25 ° | 90000 ″ |
| 50 ° | 180000 ″ |
| 100 ° | 360000 ″ |
| 250 ° | 900000 ″ |
| 500 ° | 1800000 ″ |
| 1000 ° | 3600000 ″ |
Other degree conversions
Convert to arc-second from another unit
° to ″ — frequently asked
How many arc-seconds are in 1 degree?
1 degree = 3600 arc-seconds (° × 3600 = ″).
What is the formula to convert degree to arc-second?
Multiply your degree value by 3600 to get arc-second.
How do I convert 10 degrees to arc-seconds?
10 ° = 36000 ″. For 100 ° the answer is 360000 ″. Use the calculator on this page for any other value.
When to convert degree 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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