Trimming circular edges

I am looking at building a small rotating table like a lazy susan. It will be 12 in. in diameter constructed of a single thickness of 3/4" sheetgoods covered with veneer or formica. I intend to cover the outer edge with a 1 inch wide strip, trim flush with the top and bottom, then glue on the top trimming with a laminate trimmer with a flush trimming bit. A couple of question though;
Is the glue thickness a concern on the OD? A layer of contact cement .020 (twenty thousandths) thick will change the circumfrence nearly 1/16 in. A wood veneer could be scarfed and sanded to compensate, but what about laminate?
How do you trim the covering on the outer diameter flush with the top of the substrate? A router or laminate trimmer with a flush trimming bit won't sit on the 3/4 in. wide surface the way it does on a 1-1/2 in. wide countertop edge. Hey, how do they trim the formica edge band on a outside curve of an island? Or on an inside curve where a router base won't sit flush? I suppose a belt sander might do... But isn't there a better way?
Add pictures here
<% if( /^image/.test(type) ){ %>
<% } %>
Add image file
Upload is a website for homeowners and building and maintenance pros. It is not affiliated with any of the manufacturers or service providers discussed here. All logos and trade names are the property of their respective owners.