Sheet Metal tools

I am making these shapes in a circular pattern. It ends up being cone shaped, where the center sits raised, changing overall length that I need to maintain. When I place the piece on the ring, the edges have gaps. How can i form/bend my piece to maintain the degrees I need, but so the entire edge matches the radius with no gaps like what is shown? I have a top view shown, and the other image shows the gaps that I need to close.