This is a AfroPower 70mm power distribution board and LED driver. Made from 1mm FR-4 material and 3oz copper. Driver for 2 channels of LEDs is available. 7805-style regulator can be added to the board to provide 5V output. 8+4 pads on ground, 11+2 pads on positive should be enough for everybody.
Inner ring is negative (battery -), outer ring is positive (battery +). Led driver circuit is described here. SOT-23 PNP-transistor and 0805 or 0603 10K resistor is needed to complete the assembly.
Board dimensions: 70mm circular, 4mm mounting holes with 63mm spacing.