A numbered turnout does not have a radius as such but rather an angle expressed as a ratio of divergence. There is an effective radius or substitute radius based on angle of divergence over the length of the turnout.
An easy way to lay the cork is to simply draw out the centerline of each right of way then alternately lay half of the roadbed and fan apart as you pass through the points. I find that using a 5/8" brad gun shooting every couple of inches will get the cork in place very rapidly. If you can not get the air pressure adjusted low enough shoot through a dummy top spacer of scrap cork to have a necessary height of brad remaining.