Your 3.82 is simply 12/Pi
It basically converts SFM to inches and uses Pi D as the circumference of a circle of diameter D to calculate the rpm.
Obviously leads to 400rpm for a 1” cutter at 100SFM. That may well be what is used by commercial outfits cutting low carbon steel with HSS. Hobbyists might reduce the speed a tad, because the cutters will last longer, and time is not money.
Your choice, once you remember that 400rpm, whether you double it for carbide cutters, double it for aluminium cutting with HSS, double it for a 1/2” cutter, etc – or change your factor of four and work out the same numbers, but differently.
Personally, I prefer metric but once you know the surface metres per minute, the calculation is simple enough for a 10mm cutter. Then go from there.
Not surprisingly, the 100fpm converts to 30.5m so that divided by Pi gives ~10. Converting through the maths, a 10mm cutter would work out to 1000rpm, 20mm would be 500rpm and 25mm (1&rdquo
would be 400rpm
Now, do you use imperial or metric cutters and does it make any difference?
Carry on with your conversions and I will do it my way. We will both get the same result and then alter it to suit the actual conditions (chatter, surface finish, tool wear, etc). 