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Minute and second of arc

POI: 48.856578, 2.351828
A minute of arc, arcminute (arcmin), arc minute, or minute arc is a unit of angular measurement equal to 1/60 of one degree. Since one degree is 1/360 of a turn (or complete rotation), one minute of arc is 1/7004216000000000000♠21600 of a turn (or, in radians, π/7004108000000000000♠10800). A second of arc, arcsecond (arcsec), or arc second is 1/60 of an arcminute, 1/7003360000000000000♠3600 of a degree, 1/7006129600000000000♠1296000 of a turn, and π/7005648000000000000♠648000 (about 1/7005206265000000000♠206265) of a radian. These units originated in Babylonian astronomy as sexagesimal subdivisions of the degree; they are used in fields that involve very small angles, such as astronomy, optometry, ophthalmology, optics, navigation, land surveying and marksmanship. To express even smaller angles, standard SI prefixes can be employed; the milliarcsecond (mas) and microarcsecond (μas), for instance, are commonly used in astronomy. The number of square arcminutes in a complete sphere is 4 π ( 10 800 π ) 2 = 466 560 000 π ≈ {\displaystyle 4\pi \left({\frac {10\,800}{\pi }}\right)^{2}={\frac {466\,560\,000}{\pi }}\approx } 7008148510660000000♠148510660 square arcminutes.
Symbols and abbreviations
The standard symbol for marking the arcminute is the prime (′) (U+2032), though a single quote (') (U+0027) is commonly used where only ASCII characters are permitted. One arcminute is thus written 1′. It is also abbreviated as arcmin or amin or, less commonly, the prime with a circumflex over it ( ′ ^ {\displaystyle {\hat {'}}} ). The standard symbol for the arcsecond is the double prime (″) (U+2033), though a double quote (") (U+0022) is commonly used where only ASCII characters are permitted. One arcsecond is thus written 1″. It is also abbreviated as arcsec or asec. In celestial navigation, seconds of arc are rarely used in calculations, the preference usually being for degrees, minutes and decimals of a minute, for example, written as 42° 25.32′ or 42° 25.322′. This notation has been carried over into marine GPS receivers, which normally display latitude and longitude in the latter format by default.
Common examples
An arcsecond is approximately the angle subtended by a U.S. dime coin (18 mm) at a distance of 4 kilometres (about 2.5 mi). An arcsecond is also the angle subtended by an object of diameter 7005725270000000000...   ... (English)
Winkelminute - Deutsch -> English  
Boogminuut - Nederlandse -> English  
Минута дуги - Русский -> English  
Sous-unités du degré - Français -> English  
Minuta kątowa - Polska -> English  
Мінута - Український -> English  
Primo (geometria) - Italiano -> English  
Minuto de arco - Español -> English  Português -> English  
分 (角度) - 日本語 -> English  
Minut d'arc - Català -> English  
Minuta (úhlová jednotka) - České -> English  
Лучни минут - Српска -> English  
Bueminutt - Norske -> English  
Bågminut - Svenska -> English  
Bueminut - Danske -> English  
Kulmaminuutti - Suomalainen -> English  
角分 - 简体中文 -> English  
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