Geomerative: splitting a shape into multiple shapes by points

applepie

Using the geomerative library, I want to be able to split one shape into multiple shapes at several split points, and store the collection of resulting shapes in an array.

For example, the big circle has five split points. I was able to produce the red arc for the segment between the top point and the next point going clockwise as an RShape using the split function. However, I was unsuccessful at producing the other segments. Is there a function alone in the geomerative library that can accomplish this, or do I need to write an algorithm? If so, how would I write it?