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 US uses customary units (US gallon, short ton, °F) in daily life; NIST SP 811 gives the exact SI factors.
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 Institute of Standards and Technology (NIST) — United States's national measurement authority.
Last checked: September 2026. Conversion factors are fixed by definition and do not change with tax years or regulations.