The math equation that defines pi (π) is the ratio of a circle's circumference to its diameter: π = Circumference / Diameter.
Here's a breakdown:
-
Pi (π): A mathematical constant representing the ratio of a circle's circumference to its diameter. It is an irrational number, meaning its decimal representation neither terminates nor repeats.
-
Circumference: The distance around a circle.
-
Diameter: The distance across a circle through its center.
Therefore, no matter the size of the circle, dividing its circumference by its diameter will always result in a value very close to pi, approximately 3.14159. While often approximated as 22/7, this is not the exact value of pi, but rather a rational approximation useful for quick calculations. The true value of pi extends infinitely.
In summary, while there isn't a single "equation of pi" that calculates pi from scratch (various complex series do this, but they are more involved), the foundational equation that defines pi is:
π = C / d
where:
- C = Circumference
- d = diameter