I was doing a thought experiment and came across something that I'm going to term the Planck Circle Problem for the sake of naming it something. The logic is as follows: 1.) All lengths contain an integer number of Planck Lengths. 2.) The radius and circumference of a circle are both lengths. 3.) Therefore, the radius and circumference of a circle must both contain an integer number of Plank Lengths. 4.) A circle cannot have both a radius and circumference with an integer number of units because pi is a transcendental number. I asked a mathemetician about this problem and his response was that the concept of a fundamental unit of length is impossible. However, physicist are just as adamant in claiming that a universal unit of length does exist. What am I missing?