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The outer circle of a football field is the border of the field. When the players step outside of the border, the play stops.
Technical Competence
So soccer has the circle in the middle of the field. That is related to pi because it is a circle. That is how they are related!
The diameter of the center circle on a regular soccer field (100x60 yards) is 20 yards.
The circumference of the center circle of a soccer field is pi times its diameter (which is 10 yards). It could also be expressed as 2 times pi times its radius (which is 5 yards). It's about 31.416 yards.