Ah I think I understand, you want to turn steering wheel and thus the pinion 90-100 degree and your rack should move 2.5cm, correct?
Well in that case it's easy as hell, the pinion circumference should be about 10cm (a quarter of that aka 90° would be 2.5cm) which will then end up in a pinion diameter of about 3.2cm ( 3.2 x Pi = ~10 )
'sid
PS That is a small bike sprocket you want to find there
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EDIT]
Oh I was a little late.. anyways that's still what I understand
Small movements like this should be accomplished with a simple pitman arm rather than a rack and pinion... but that's your choice