Distortion in the center of cirle meshes

Well, i was making a coin, using displacement. My problem is the center of the circle i am using for the front and backside. The vertex count is much more dense there, also from the inner loopcut to the center the mesh produce triangles, resulting in a distorted look of the object if deformed. What would be the best way to approch this problem? I guess there is no easy build-in solution, but how do i have to build the mesh in circles to avoid the distortion in the center? Thanks for any advise.

You could delete the two ends and use the Grid Fill option to fill with quads rather than triangles


Oh, thanks a lot, i’ll try that. EDIT: It workes very well, thanks again. Problem solved.