yOU CAN GET THE DIAMETER OF A GEAR IF YOU KNOW THE NUMBER OF TEETH PROVIDED THAT YOU ALSO KNOW THE DIAMETRAL PITCH, OR METRIC MODULE. LOTS OF BASIC MECHANICAL DESIGN TEXTBOOKS HAVE THE EQUATIONS YOU NEED. A GOOD CATALOG, SUCH AS BOSTON GEAR'S, WILL ALSO PROVIDE THE INFORMATION YOU NEED TO ANSWER A QUESTION LIKE THIS ONE.
IF YOU WANT TO KNOW MORE ABOUT GEARS, CONSULT A GOOD GEAR REFERENCE FRO AUTHORS LIKE DUDLEY, OR BUCKINGHAM, OR OTHERS.
TO GET THE GEAR OUTSIDE DIAMETER DIVIDE THE (NUMBER OF TEETH + 2) BY THE DIAMETRAL PITCH.