<P> Finally, it may be the case that more than one of these factors has come into play . According to that theory, the number is approximately 365 because of the apparent movement of the sun against the celestial sphere and that it was rounded to 360 for some of the mathematical reasons cited above . </P> <P> For many practical purposes, a degree is a small enough angle that whole degrees provide sufficient precision . When this is not the case, as in astronomy or for geographic coordinates (latitude and longitude), degree measurements may be written using decimal degrees, with the degree symbol behind the decimals; for example, 40.1875 ° . </P> <P> Alternatively, the traditional sexagesimal unit subdivisions can be used . One degree is divided into 60 minutes (of arc), and one minute into 60 seconds (of arc). Use of degrees - minutes - seconds is also called DMS notation . These subdivisions, also called the arcminute and arcsecond, are respectively represented by a single and double prime . For example, 40.1875 ° = 40 ° 11 ′ 15", or, using quotation mark characters, 40 ° 11' 15 ". Additional precision can be provided using decimals for the arcseconds component . </P> <P> The older system of thirds, fourths, etc., which continues the sexagesimal unit subdivision, was used by al - Kashi and other ancient astronomers, but is rarely used today . These subdivisions were denoted by writing the Roman numeral for the number of sixtieths in superscript: 1 for a "prime" (minute of arc), 1 for a second, 1 for a third, 1 for a fourth, etc . Hence the modern symbols for the minute and second of arc, and the word "second" also refer to this system . </P>

How many arc seconds are there in 1 degree
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