Question

In a circle of any size, what ratio does pi represent?

Answer 1

Pi is a numerical constant that represents the ratio of a circle's circumference to its diameter on a flat plane surface.The value is the same regardless of the size of the circle.

Answer 2

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.