I often use this "quick & dirty" method: I carefully draw a square of a known area to scale (if I'm working at a scale of 1" = 1'-0", I'll draw a square 3" per side, equalling 9 scale square feet) and set up my planimeter to measure it. I set the planimeter counter to zero, measure the square, and record the resulting counter reading. I reset to zero and measure the square again and record the result. Then I do it a third time. I sum the recorded results and divide by three to get the average reading. Then I divide that by the scale square footage to get a "factor" for the planimeter readings, which I write down. I can then measure the drawings I am interested in and divide the readings I get by my planimeter factor to get the scale areas. I like this method as it is independant of any planimeter arm settings and therefore not prone to inaccuracies of physical settings of the device.
Hope for the best, but plan for the worst.