Was pi invented or discovered?

[FallentoReason]

Look up sometime when the sun is shining. Watch ripples in a still pool.

Having studied some heavy maths for the last 3 years (and counting...) I'm going to have to start splitting hairs:

Yes, those two things appear to look like a circle, but neither are a true representation of the concept of infinite points a distance x from the centre, because the nature of the concept makes it impossible to bring the concept into the physical world.