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Small point, but when you're talking about rake you'd use the tire radius since it defines the distance from the ground to the wheel/tire centerline and therefore the car's ride height. This means it's actually half the diameters and differences noted above.
For speed and traction control calculations using the difference in tire diameters would be correct, though, since the applicable factor is the distance traveled per rotation. This is based on the tire circumference and circumference equals pi x diameter.
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