There are 60 seconds in 1 degree of a turn
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The calculation is 60 arc seconds X 60 arc minutes X 360 degrees in a full circle. So, there are 1,296,000 arc seconds in a full circle.
Conversion of arc seconds to inches depends on the distance that is being measured. There are 360 degrees in a circle, 60 minutes per degree and 60 seconds per minute. The circumference of a circle is PI * diameter. So 1 arc second of a 1 foot diameter circle is equal to .000029 inches. (12 * PI inches diameter divided by (360*60*60))
There are 60 minute to each degree and 60 secons to each minute. 1 degree = 60 minutes 60 minutes = 3600 seconds
1 minute of arc is one sixtieth, or about 0.01667, of a degree. The sine of of 0.01667 degrees is about 0.0002909.
The latitude and longitude are input in degrees, so you might need to convert to degrees from degrees:minutes:seconds. There are 60 seconds in 1 minute and 60 minutes in 1 degree. So, for example: 65:45:36 south latitude converts to -(65 degrees + (45 minutes * (1 degree/60 minutes)) + (36 seconds * (1 minute/60 seconds) * (1 degree/60 minutes))) = -65.76 degrees latitude