How to add edge loops to a circle (triangle fan) If I have triangle fan that makes a circle, for example what you get when you Add->Circle, with fill type Triangle Fan, and I want to add more edge loops radially, what's the best way to do that?

I can sort of do this if I extrude the outer edge, then scale down the 'old' outer edge. Once I do this I can do loop cut like normal between the two but this modifies the original edge. I'd like to figure out a way to do this that doesn't touch the outer edges.
To add edge loops on a triangle fan, select all the faces of your circle, hit I button, adjust the distance of the loop with the mouse and repeat the operation with Shift+R until you have the number of loop cuts you want.