Pi (π) is most fundamentally defined as the ratio of a circle's circumference (C) to its diameter (d). Therefore, the formula for pi is:
π = C / d
Where:
- C = Circumference of the circle
- d = Diameter of the circle
Essentially, pi tells you how many times the diameter of a circle will fit around its circumference. It's approximately equal to 3.14159, but it's an irrational number, meaning its decimal representation never ends or repeats. While the above formula is the definition of Pi, it can be incorporated into other formulas, most notably those calculating a circle's circumference and area.
Related Formulas:
- Circumference: C = πd = 2πr (where r is the radius)
- Area: A = πr²
These formulas use the value of pi to calculate the circumference and area of a circle when the radius or diameter is known.
