Answer:
Pi represents ratio of the circumference of any circle to the diameter of that circle.
Step-by-step explanation:
We are asked to tell what ratio does pi represent in a circle of any size.
We know that all circles are similar as when we divide circumference of circle by its diameter we get same value that is pi.
\(C=2\pi r\), where,
C = Circumference of circle
We know that diameter of circle is two times radius, so we can manipulate our equation as:
\(C=\pi D\), where, D represents diameter of the circle.
Let us divide both sides of our equation by D.
\(\frac{C}{D}=\frac{\pi D}{D}\)
\(\frac{C}{D}=\pi\)
Therefore, pi represents ratio of the circumference of any circle to the diameter of that circle.
