How's that go... Necessity is the mother of invention?

Hmmm... Invention? More like inquiry. 😉

This ought to work. First, in the Viewing Tab, open the Visual Aids menu. Select the Glue to Shapes vertices. Now draw your radial spokes. Choose any radius, and arbitrarily pick one end to be the center/hub. Drag each of the remaining lines such that the appropriate end glues to your reference. That's it. Odd number of spokes cojmpleted.

[/quote]

That worked. Thanks. Here's one with 7 slices:

I had a little trouble with your method. My radius lines had a tendency to glue themselves to each other, rather than the circle center. I had to zoom in a bit to make sure I was gluing them to the circle center. After a bit of fiddling, I got it to work.

The angles can be tricky. For some numbers of slices (3, 5, 9, 15), the angles are integers. For others, they are infinite decimals. I ended up using this spreadsheet table to calculate the angles. I can then copy each angle to the Angle field in the Size & Position table.

I also discovered that the Align (Center & Middle) doesn't work here because there are no diameter lines. That means the center of the group is not where the lines all meet. (Surprise)

But all that got me to wondering how hard it would be to write some code to do it automagically. I've written a lot of Excel code and a few Word macros, but no Visio code. Would that be beyond my skills? My plan would be to pass it the circle object and the number of segments.