I think this whole test is flawed. The chord length of the perimeter circle increases as you decrease pressure, so you cant simply take the measurements as radius and apply the pi*d calc.
That would hold true only if the contact area between the tire and the ground was curved. Its flat, so you have to calculate the circumference taking into account the chord length (flat area) increases as pressure decreases.Well if you do the math....the fact that it rises and presuming it stays raised as the wheels turn the effective circumference will be effectively the calculated value done by the OP