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Just like time, 60 seconds are in one minute.
There is no such thing as one degree of minute.There are 60 minutes of arc in one degree of arc and 60 seconds of arc in one minute of arc
1 degree = 60 minutes 1 minute = 60 seconds 1 degree = 3,600 seconds
An arc-minute is 1/60 of a degree. It is not a measure of length, so you can't convert it to inches.