Arcminute to Arcsecond Converter
Convert arcminute to arcsecond instantly. 1 arcminute = 60.0 arcsecond.
Arcminute to Arcsecond Table
| Arcminute | Arcsecond |
|---|---|
| 1 ' | 60.0 " |
| 5 ' | 300.0 " |
| 10 ' | 600.0 " |
| 30 ' | 1800.0 " |
| 45 ' | 2700.0 " |
| 90 ' | 5400.0 " |
| 180 ' | 10800.0 " |
| 360 ' | 21600.0 " |
Related Conversions
Quick Answer
Formula: Arcsecond = Arcminute × 60
Multiply any arcminute value by 60 to get arcsecond.
Reverse: Arcminute = Arcsecond × 0.01667
Worked Examples
Arcminute to Arcsecond Conversion Table
Common arcminute values — factor: 1 ′ = 60 ″
| Arcminute (′) | Arcsecond (″) | Context |
|---|---|---|
| 1 ′ | 60 ″ | 1′ resolution |
| 5 ′ | 300 ″ | 5′ |
| 10 ′ | 600 ″ | 10′ |
| 30 ′ | 1800 ″ | 0.5° |
| 60 ′ | 3600 ″ | 1° |
| 120 ′ | 7200 ″ | 2° |
| 300 ′ | 1.8e+04 ″ | 5° |
| 600 ′ | 3.6e+04 ″ | 10° |
| 900 ′ | 5.4e+04 ″ | 15° |
| 1800 ′ | 1.08e+05 ″ | 30° |
| 3600 ′ | 2.16e+05 ″ | 60° |
| 5400 ′ | 3.24e+05 ″ | 90° right angle |
| 1.08e+04 ′ | 6.48e+05 ″ | 180° |
| 2.16e+04 ′ | 1.296e+06 ″ | 360° full circle |
| 4.32e+04 ′ | 2.592e+06 ″ | 720° |
Mental Math Tricks
1 ′ = 60 ″. Memorize for instant estimates.
Right angle: 90° = 3.24e+05 ″.
Multiply result by 0.01667 to recover the original ′ value.
Who Uses This Conversion?
Measures angular separation of stars, planets, and galaxies in arcminutes.
Uses arcminutes for sextant readings — 1 arcminute = 1 nautical mile on Earth.
Assesses visual acuity in arcminutes — 20/20 vision resolves 1 arcminute features.
Describes field of view and pointing accuracy in arcminutes for optical telescopes.
Measures solar and lunar angular diameters (~30-31 arcminutes) for eclipse calculations.
Works with geographic coordinates where position precision is often expressed in arcminutes.
Related Conversions
Frequently Asked Questions
About Arcminute and Arcsecond
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.
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 Arcminute to Arcsecond Conversion
Converting arcminute 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 ″ = 0.01667 ′. Exact factor: 1 ′ = 60 ″.
All conversions use IEEE 754 double-precision arithmetic, accurate to at least 8 significant figures.