Pi can be equal to whatever you want, as long as you’re using a number base that accounts for it. Pi is only an irrational number because base-10 is a rational base. You could create a number base that sets pi equal to 1, if you wanted.
That’s exactly my point. A base pi system would have pi equal to 1. In a base pi number system, a circle with a radius of 1 would have a circumference of 10. A radius of 10 would be a circumference of 100. Etc… Pi (and the relationship between a circle’s radius and circumference) only normally requires complex math because base 10 is a rational number base.
Who says pi has to be a constant at all?
Go ahead and sign up for a non-euclidean geometry course. Constant pi assumes flat geometry, and I’m ok with that.
Woah, that would be trippy
Pi can be equal to whatever you want, as long as you’re using a number base that accounts for it. Pi is only an irrational number because base-10 is a rational base. You could create a number base that sets pi equal to 1, if you wanted.
what if i make a base pi system?
That’s exactly my point. A base pi system would have pi equal to 1. In a base pi number system, a circle with a radius of 1 would have a circumference of 10. A radius of 10 would be a circumference of 100. Etc… Pi (and the relationship between a circle’s radius and circumference) only normally requires complex math because base 10 is a rational number base.