You mean something like this?
Make two circles with the same top origin. Select both and rotate/copy them 120° to the left and right. Select them all, use the Pathfinder panel to combine them. Delete the the center triangle. Ungroup them. Add the small center circle and the other shape and make it a compound path (should knockout the center). Give it a stroke. Make the back two circles and make a compound path and send to back.