The first one is Star 1.
Set to 7 points and an inner rounding that cannot be set to any value, only estimated.

A Bevel of Point Frame 2 was applied.

Finally, I went a bit edgy and added an slight Extrusion.
I did this to demonstrate that Extrusions are effectively a destructive step.

Note, the built-in Quickshapes tool for Starred shapes can only handle curved or pointed vertices; Star 1, at least can handled inner and outer rounding separately.

@Xara - adding a Bevel to a Smart Shape creates a Bevel Group, where the Bevel and the Smart Shape (Star here) can be separately tuned.
Can we not similarly have an Extrusion Group?

Acorn