Larger Rotor Brakes

Sounds right, I asume it will give better stoping power but how can a pad of equal size (constant) gain more area of contact from just increasing the size of the rotor? Are you saying that the caliper pad was not making full area contact on the smaller rotor, and now that the rotor is larger, it is? Maybe I'm not seeing the science behind it.

Increasing the rotor size means that the the moment of arm is increased, it gives you greater leverage, and with the same clamping force you get easier braking.
Now by increasing the rotor size also means that you can use bigger brake pads and hence increase the swept area which again gives you better braking.
Bigger rotors will also dissipate heat better but that does not necessarily means
better braking because the coefficient of friction is temperature dependent! For that, a graph of the coefficient of friction against temp is needed to know what we are talking about!