Arcsecond to Arcminute Converter
Convert arcsecond to arcminute instantly. 1 arcsecond = 0.016667 arcminute.
Arcsecond to Arcminute Table
| Arcsecond | Arcminute |
|---|---|
| 1 " | 0.016667 ' |
| 5 " | 0.083333 ' |
| 10 " | 0.166667 ' |
| 30 " | 0.5 ' |
| 45 " | 0.75 ' |
| 90 " | 1.5 ' |
| 180 " | 3.0 ' |
| 360 " | 6.0 ' |
Related Conversions
Quick Answer
Formula: Arcminute = Arcsecond × 0.01667
Multiply any arcsecond value by 0.01667 to get arcminute.
Reverse: Arcsecond = Arcminute × 60
Worked Examples
Arcsecond to Arcminute Conversion Table
Common arcsecond values — factor: 1 ″ = 0.01667 ′
| Arcsecond (″) | Arcminute (′) | Context |
|---|---|---|
| 1 ″ | 0.01667 ′ | 1″ — star parallax |
| 5 ″ | 0.08333 ′ | 5″ |
| 10 ″ | 0.1667 ′ | 10″ |
| 30 ″ | 0.5 ′ | 0.5′ |
| 60 ″ | 1 ′ | 1′ |
| 300 ″ | 5 ′ | 5′ |
| 600 ″ | 10 ′ | 10′ |
| 1800 ″ | 30 ′ | 30′ |
| 3600 ″ | 60 ′ | 1° |
| 1.08e+04 ″ | 180 ′ | 3° |
| 2.16e+04 ″ | 360 ′ | 6° |
| 4.32e+04 ″ | 720 ′ | 12° |
| 8.64e+04 ″ | 1440 ′ | 24° |
| 3.24e+05 ″ | 5400 ′ | 90° right angle |
| 1.296e+06 ″ | 2.16e+04 ′ | 360° |
Mental Math Tricks
1 ″ = 0.01667 ′. Memorize for instant estimates.
Right angle: 90° = 5400 ′.
Multiply result by 60 to recover the original ″ value.
Who Uses This Conversion?
Measures stellar parallax in arcseconds to determine distances to nearby stars.
Designs positioning systems where 1 arcsecond of latitude ≈ 30 meters on Earth.
Specifies pointing accuracy and tracking error in arcseconds for precision instruments.
Measures Earth's polar precession (50 arcsec/year) and tidal deformation.
Achieves sub-arcsecond resolution with VLBI radio telescope arrays.
Maintains spacecraft pointing accuracy measured in arcseconds.
Related Conversions
Frequently Asked Questions
About Arcsecond and Arcminute
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.
Arcminute (′)
The arcminute (′) is 1/60 of a degree. The subdivision of degrees into 60 parts follows the Babylonian sexagesimal system. In astronomy, arcminutes have been used to describe angular separations since antiquity.
Arcminutes are used in astronomy (angular size of the Moon ≈ 31′), navigation (1 arcminute of latitude ≈ 1 nautical mile — the origin of the nautical mile definition), and ophthalmology (20/20 vision corresponds to resolving features 1 arcminute apart).
Interesting fact: The full Moon subtends about 31 arcminutes in the sky. Human visual acuity limit is about 1 arcminute — the basis of the 20/20 vision standard.
About Arcsecond to Arcminute Conversion
Converting arcsecond to arcminute 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°) = 5400 ′. A full circle (360°) = 2.16e+04 ′. Reverse: 1 ′ = 60 ″. Exact factor: 1 ″ = 0.01667 ′.
All conversions use IEEE 754 double-precision arithmetic, accurate to at least 8 significant figures.