So this is my notes for the AoE factor design formula:
AoE factor = 1 + 0.75 * Radius/5 - 0.011 * Radius/6 * (360-Arc) / 5
Spherical AoE is the degenerate case where Arc = 360 degrees. This formula is mathematically identical to the formula quoted at the top of the thread.
The damage formulas I have agree with the OP as well: they are actually identical to the ones posted by Trickshooter, and were the ones I used at the time:
Recharge = (Damage - 0.36) / 0.16
Damage = (Rec