Degree to Arcsecond Converter
Convert degree to arcsecond instantly. 1 degree = 3600.0 arcsecond.
Degree to Arcsecond Table
| Degree | Arcsecond |
|---|---|
| 1 ° | 3600.0 " |
| 5 ° | 18000.0 " |
| 10 ° | 36000.0 " |
| 30 ° | 108000.0 " |
| 45 ° | 162000.0 " |
| 90 ° | 324000.0 " |
| 180 ° | 648000.0 " |
| 360 ° | 1296000.0 " |
Related Conversions
Quick Answer
Formula: Arcsecond = Degree × 3600
Multiply any degree value by 3600 to get arcsecond.
Reverse: Degree = Arcsecond × 0.0002778
Worked Examples
Degree to Arcsecond Conversion Table
Common degree values — factor: 1 ° = 3600 ″
| Degree (°) | Arcsecond (″) | Context |
|---|---|---|
| 1 ° | 3600 ″ | 1° |
| 5 ° | 1.8e+04 ″ | 5° |
| 10 ° | 3.6e+04 ″ | 10° |
| 15 ° | 5.4e+04 ″ | Clock hour |
| 30 ° | 1.08e+05 ″ | Clock half-hour |
| 45 ° | 1.62e+05 ″ | Half right angle |
| 60 ° | 2.16e+05 ″ | Equilateral triangle |
| 90 ° | 3.24e+05 ″ | Right angle |
| 120 ° | 4.32e+05 ″ | Obtuse |
| 135 ° | 4.86e+05 ″ | 3/8 turn |
| 180 ° | 6.48e+05 ″ | Straight line |
| 270 ° | 9.72e+05 ″ | 3/4 turn |
| 360 ° | 1.296e+06 ″ | Full circle |
| 720 ° | 2.592e+06 ″ | Two rotations |
| 1080 ° | 3.888e+06 ″ | Three rotations |
Mental Math Tricks
Degrees × 3,600 = arcseconds. Exact (60 arcmin × 60 arcsec).
1° = 3,600″, 1′ = 60″.
Arcseconds ÷ 3,600 = degrees.
Who Uses This Conversion?
Measures horizontal and vertical angles in degrees for land surveys and boundary marking.
Specifies roof pitches, staircase angles, and geometric building features in degrees.
Uses compass bearings and course headings expressed in degrees for maritime and aviation.
Learns sine, cosine, and tangent functions using degree inputs on a calculator.
Specifies shaft rotation, cam profiles, and gear engagement angles in degrees.
Reports wind direction in degrees from north (0°–360°) for weather forecasts.
Related Conversions
Frequently Asked Questions
About Degree and Arcsecond
Degree (°)
The degree (°) divides a full circle into 360 equal parts. This system traces back to ancient Babylonian astronomy, which used a base-60 (sexagesimal) number system. The choice of 360 is practical: it is divisible by 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, and 120.
Degrees remain the dominant angle unit in everyday life, navigation, surveying, and most engineering disciplines. Compass bearings, latitude and longitude, and architectural drawings all use degrees.
Interesting fact: The Babylonians may have chosen 360 because they approximated the solar year as 360 days, making each day of travel correspond to one degree of the Sun's apparent annual motion around the sky.
Arcsecond (″)
The arcsecond (″) is 1/3600 of a degree or 1/60 of an arcminute. It is the standard unit for precise astronomical measurements, astrometry, and geodesy.
Stellar parallax — the apparent shift of nearby stars due to Earth's orbital motion — is measured in arcseconds. The parsec (parallax arcsecond) is defined as the distance at which 1 AU subtends 1 arcsecond. GPS systems achieve precision of a few centimeters, corresponding to fractions of an arcsecond.
Interesting fact: The closest star (Proxima Centauri) has a parallax of just 0.7687 arcseconds. The Hubble Space Telescope can resolve features as small as 0.05 arcseconds. Earth's polar precession moves at about 50 arcseconds per year.
About Degree to Arcsecond Conversion
Converting degree to arcsecond is essential in mathematics, physics, engineering, and surveying. Degrees are used in everyday contexts and navigation; radians are the standard in calculus and physics; gradians are common in European surveying. Having accurate conversions ensures correct results across disciplines.
Key reference: a right angle (90°) = 3.24e+05 ″. A full circle (360°) = 1.296e+06 ″. Reverse: 1 ″ = 0.0002778 °. Exact factor: 1 ° = 3600 ″.
All conversions use IEEE 754 double-precision arithmetic, accurate to at least 8 significant figures.