Was pi invented or discovered?

[Anomalocaris]

Really? wake up!

Is universal gravitational constant discovered or invented, how about speed of light? Planck constant? Discovered or invented? Elementary charge?

You're conflating mathematics and physics. We're discussing the nature of the ration of diameter to circumference in a perfect circle. Are perfect circles found in nature? I'm not aware of any, though I do not necessarily doubt they exist. Does the concept of a perfect circle hold any meaning absent a consciousness capable of contemplating one? I'm not certain. How can you be?

No, I am not. No concept of perfect circle need exist at all, and still pi would fall naturally out of any thorough description of the actual effects of the physical laws in the real world.

Take for example, Given an initial inventory of radioactive elements at the core of the earth, how hot would the core be now? The answer involves dimensionless pi, like any dimensionless physical constant. Given an object of a mass and density attains isostatic equilibrium under its own gravity, what would its dimension be? Pi is there again. Given x amount of dough, how big of a pizza crust can you make? guess what, the answer involve that dimensionless constant again. Pi is all around you in every object that is round. What's more important, roundness is not a coincidence. Operation of laws of physics leads naturally to roundness at all scales of the physical world. So through analysis of the physical world would inevitably lead to discovery of this magical dimensionless, but far from theoretical or merely conceptual, constant pi

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Really? wake up!

Is universal gravitational constant discovered or invented, how about speed of light? Planck constant? Discovered or invented? Elementary charge?

Really Chuck.

Really.