So I'm VERY new to Inkscape, and plan on using it only for a short while to make a logo.
I currently have this,

Which is a black filled circle, with white arcs over the top. It looks exactly how I want it, and I'm almost done.
I want to cut the black circle so that the white bits are transparent. I was expecting to just select everything, and press the "Path > Cut Path" or "Path > Difference", but I'm having no luck. The end results of the various boolean operations are just wrong - either everything is white, or there are pie shaped black slices made of the white arcs, not the black circle (1 or many).
I just want to cut the black circle so that it is multiple pieces instead of 1 piece.
Any advice would be much appreciated. I've been through the "advanced tutorial" and no luck. Also, not too sure what I should be searching for.
Thanks for your time.