if pi was 3, the area of a circle would be equal to 3 squares with side-length of the radius. this means the definition of a circle would be different, since now a circle is 3 squares.
This would break geometry. Since the definition of a circle is the foundation of geometry, and trigonometric functions sin and cos.
Hmm
or maybe if the area of a circle A=r*r*PI and PI = 3 so A=r*r*3 you would just scale the radius by the factor of sqrt(pi)/sqrt(3) = 1.0233267079464885... to get to a correct circle again.
So you would just scale the universe by a factor slightly larger than 1, up-scaling everything.
But then the formula for the volume of a sphere V=4/3*pi*r*r*r would break ………
if pi was 3, the area of a circle would be equal to 3 squares with side-length of the radius. this means the definition of a circle would be different, since now a circle is 3 squares. This would break geometry. Since the definition of a circle is the foundation of geometry, and trigonometric functions sin and cos.
Hmm or maybe if the area of a circle
A=r*r*PIandPI = 3soA=r*r*3you would just scale the radius by the factor ofsqrt(pi)/sqrt(3) = 1.0233267079464885...to get to a correct circle again.So you would just scale the universe by a factor slightly larger than 1, up-scaling everything.
But then the formula for the volume of a sphere
V=4/3*pi*r*r*rwould break ………