How many arcseconds are in a degree?

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Answer 1 · 2018-04-25T01:39:20

There are #3600# arcseconds in #1# degree.

We can use dimensional analysis to convert from degrees to arcminutes, then from arcminutes to arcseconds:

#color(white)=1^@#

#=1^@*"60 arcminutes"/1^@#

#=color(red)cancelcolor(black)(1^@)*"60 arcminutes"/color(red)cancelcolor(black)(1^@)#

#="60 arcminutes"color(white)*#

#="60 arcminutes"*"60 arcseconds"/"1 arcminute"#

#="60"color(red)cancelcolor(black)"arcminutes"*"60 arcseconds"/("1"color(red)cancelcolor(black)"arcminute")#

#=60*"60 arcseconds"/1#

#=60*"60 arcseconds"#

#="3600 arcseconds"color(white)*#