Hi Psygorn.

Thank you very much for the explanation. To be honest, I can only follow the first two lines from your picture. ^_^
However I've shared the picture to my nephew which amaze him quite a lot.

The original quiz was in Bahasa Indonesia which translation sounds like this:
"There are 3 lines. One line has length x√2 while the other has length x. Arrange the three of them into half pentagons so that all the ends are exactly on the circumference of a circle. Show me the picture. For bonus point: Mention the size of each corner formed and the radius of the intended circle."

The students has to solve this in their preference CAD application.