The instrument cluster computer will display 90 C or 190 degrees over a wide range of temperatures, intended to hide all the small normal variations in temperature that you actually get on any car.
If your A4 is not reading straight up and down, then it is too cool or too hot. I would work on mine to get it fixed, get my mileage right, and ensure my engine was properly protected.
The fans are also run by a dumb temperature switch on the left side of the radiator, through the fan controller module. It has two setpoints.
Bentley fan operating points:
low speed
on - 197-206 F (92-97 C)
off - 183-195 F (84-91 C)
Fast speed
on - 210-221 F (99-105 C)
off - 195 - 208 (91-98 C)
The coolant temperature gauge will indicate 90C (194F), if the actual coolant temperature varies between approx. 75C (167F) and 107C (225F)."