Dozen friends puzzle (circular dissection)

12 friends meet for pizza, but only 6 like crust. How can you still divide the pizza fairly?

Puzzle is quite easy, suitable for kids

Fit all shapes in the circular tray. There's one solution (plus its mirror image)

Designed in GeoGebra and exported as SVG. Also the calculations were done in GeoGebra CAS

Background is interesting, see https://arxiv.org/pdf/1512.03794 for the maths behind it (SPOILER)

Design by murkle on MakerWorld (license: CC0).