I really like the diagrams and the concepts you are pulling together here. But... I think you might benefit from rewriting this to sound less like something that would be on late night history channel. Stick to facts and less of the "We always call Pi an approximation because every time we find it, it seems to be a little bit different". It's just straight up not true, Pi is very clearly defined. Your sentence doesn't capture the concept of an irrational number at all, instead it opts for this the government is behind 9/11 feel.