MLG_No_Scope :
If an average f1 tyre has a width of 380mm and an diameter of 680mm, do an 1/5 rc model need 1/5 the size of the original tyre size?
For looks, yes.
For performance, the tire needs to be matched to the weight and the engine output.
1/5 scale is pretty large.
2017 F1 specs are 201-215" long. 1/5 of that is ~42".
That's a pretty big RC car.