If the "Survey Figure" is a Polyline, or perhaps can be Exploded into one, I have a routine to convert a circular Polyline into a Circle -- CirclePolylineSwap.lsp, >here<. It has commands to go both ways -- use P2C for this. If that otherwise does what you want, the elevation=0 part is easily added.
EDIT: But I agree that a sample drawing would be useful. We can't see your command line or properties in the video, so [for those of us who don't know what a "Survey Figure" is, at least] we don't know what you're working with. And what is the significance of their becoming a not-quite-regular hexagon and pentagon, rather than a Circle as requested?
Kent Cooper, AIA