mmmm
believe it or not this is a very tecnical question with many areas of physics coming into play with your final outcome....

there is a book called "how to make your car handle" it is all to so with slip angle...
and also aerodynamic resistance and achieving the best comprimise between the two.
For example, a Formula Ford usually has 14 x 7's with 195 55 14 Avons on board. If they were to have Formula 1 wheels and tyres, they would have better grip but would be slower overall due to weight and increase aero drag.
Everytime you add something you need to realise it always comes at a cost and you need to outweight the benefits with the cost.
If you were to put on space savers better aero but less surface area so less grip around the corners and slower times.

Dragster tyres are designed to be wide a fat for takeoff (increase in surface area) but as speed/rearwheel rpm increases, it narrows due centrifugal force and then surface area diminises....but this is good as there is less inertia meaning less grip is needed and more aero drag, so the frontal is decreased.

Ok then there is the question of side wall construction and also tyre compound and areodynamic lift and you suspension being setup to keep your tyre on its optimal tread pattern.......
this is getting very technical so there is a formula:-

I have to get my book out....back with that formula after dinner........