Degrees to Arcseconds
An instant degrees-to-arcseconds converter, with the formula and a reference table below.
| Degrees | Arcseconds |
|---|---|
| 1 ° | 3600 ″ |
| 2 ° | 7200 ″ |
| 3 ° | 10800 ″ |
| 5 ° | 18000 ″ |
| 10 ° | 36000 ″ |
| 25 ° | 90000 ″ |
| 50 ° | 180000 ″ |
| 100 ° | 360000 ″ |
How to use
- Enter a value in the Degrees field.
- The Arcseconds figure appears immediately — no button to press.
- Typing in the Arcseconds field converts back to Degrees the same way.
- Use the reference table for the values that come up most often.
Degrees to Arcseconds formula
Converting degrees to arcseconds is a single multiplication by 3600.
″ = ° × 3600
Put another way, one degree is exactly 3,600 arcseconds.
Why this factor: the degree and the arcsecond are both defined against the degree, so dividing one definition by the other gives 3600 directly. Both definitions are set out in full below.
To go the other way, divide by 3600 — or use the Arcseconds to Degrees converter, which is the same calculation reversed.
Worked example
Given 90 °, multiplying by 3600 yields 324000 ″.
90 ° × 3600 = 324000 ″
The converter above does this for any value you type, in either direction.
What is a degree?
A degree is one 360th of a full turn, the everyday unit of angle.
Definition: Exactly 1/360 of a complete revolution. The choice of 360 comes from Babylonian base-60 arithmetic.
Where it is used: Geometry, navigation bearings, latitude and longitude, and CSS rotations.
What is an arcsecond?
An arcsecond is one 3,600th of a degree — the precision unit of astronomy.
Definition: Exactly 1/3600 degree, or 1/60 arcminute. Symbol is the double prime (″).
Where it is used: Telescope resolution and seeing, stellar parallax (the basis of the parsec), and precision surveying.
Degrees vs Arcseconds
The degree and the arcsecond belong to the same family of units, so converting between them is usually a matter of shifting a decimal point or applying a small whole-number factor.
Frequently asked questions
How many arcseconds are in a degree?
One degree equals 3600 arcseconds.
What is the formula to convert degrees to arcseconds?
Multiply the number of degrees by 3600. To reverse it, divide by 3600 instead.
How do I convert arcseconds back to degrees?
Divide by 3600, which is the same as multiplying by 0.000277777778.
How many arcseconds are in 10 degrees?
10 ° works out to 36000 ″.
How is the degree defined?
Exactly 1/360 of a complete revolution. The choice of 360 comes from Babylonian base-60 arithmetic.