Here's an example of filing buttons in use:
Normally you make them the same diameter as the curve you want on the part.
I made these out of drill rod (which was already the right diameter). They are about 1/4" thick, and have a 1/8" hole drilled in the middle, but you can alter these dimensions to suit your part (for example, you probably want the center to match the diameter of an existing hole in the part).
You can harden them if you like, via heat treatment (I haven't done that, so won't give details).
Then you make a spindle to hold everything together from bit of scrap; threading the ends to hold nuts is one way to keep things together.
Once all this is place, you can happily file away knowing that your file will stop at the nut before it chews away too much of the part (at least for the radius!).
What I'm not sure about is whether people generally file across the part, or along the part.