Degrees to Arcseconds Converter
Convert degrees to arcseconds — multiply by 3,600. Results update as you type; exact factors shown.
One degree is 3,600 arcseconds — see the exact factor, not a rounded rule of thumb.
How the degrees to arcseconds converter works
Angles convert through the radian. A full turn is 2π radians = 360° = 400 gon = 6,400 NATO mils. A degree is 60 arcminutes, an arcminute 60 arcseconds.
The UK is metric for most trade and science but keeps miles, pints, stone and mpg (with the imperial gallon) in daily life.
Common angle conversions
| From | To | Units |
|---|---|---|
| 0.001 ° | 3.6 ″ | degrees to arcseconds |
| 0.01 ° | 36 ″ | degrees to arcseconds |
| 0.1 ° | 360 ″ | degrees to arcseconds |
| 0.25 ° | 900 ″ | degrees to arcseconds |
| 0.5 ° | 1,800 ″ | degrees to arcseconds |
| 1 ° | 3,600 ″ | degree to arcseconds |
| 2 ° | 7,200 ″ | degrees to arcseconds |
| 5 ° | 18,000 ″ | degrees to arcseconds |
| 10 ° | 36,000 ″ | degrees to arcseconds |
| 30 ° | 108,000 ″ | degrees to arcseconds |
| 90 ° | 324,000 ″ | degrees to arcseconds |
| 180 ° | 648,000 ″ | degrees to arcseconds |
Units in this converter and their exact factors
| Unit | Symbol | One unit in radians |
|---|---|---|
| degree | ° | 0.0174532925 radian |
| radian | rad | 1 radian |
| gradian (gon) | gon | 0.0157079633 radian |
| arcminute | ′ | 0.0002908882 radian |
| arcsecond | ″ | 0.0000048481 radian |
| turn (revolution) | rev | 6.2831853072 radian |
| NATO mil (1/6400 turn) | mil | 0.0009817477 radian |
FAQFrequently asked questions about angle conversion
How many arcseconds in a degree?
3,600.
What is 0.5 degrees in arcseconds?
1,800 — roughly the angular size of the Moon.
How small can telescopes resolve?
Ground-based telescopes are limited to about 0.5 to 1 arcsecond by the atmosphere; Hubble reaches 0.05.
What is a milliarcsecond?
A thousandth of an arcsecond. Radio interferometry works at this scale.
Why sixty and not a hundred?
Babylonian base-60, the same reason hours divide into sixty minutes.
Where these figures come from
- BIPM — The International System of Units (SI Brochure, 9th edition) — definitions of the base and derived units.
- NIST Special Publication 811 — Guide for the Use of the International System of Units — the exact conversion factors used here.
- National Physical Laboratory (NPL) — United Kingdom's national measurement authority.
Last checked: September 2026. Conversion factors are fixed by definition and do not change with tax years or regulations.