pi

Represents the mathematical constant equal to the ratio of a circle's circumference to its diameter, approximately 3.14159.

Overview

A fundamental mathematical constant essential across numerous scientific and engineering applications, appearing frequently in geometry, trigonometry, and physics calculations.

Central to calculations involving circles, periodic functions, and wave mathematics
Commonly used in probability theory and statistical distributions
Appears extensively in physics equations, especially in wave mechanics and quantum theory
Essential in engineering formulas for rotation, oscillation, and signal processing

Examples

Calculate the area of a circle with radius r.

A = \pi r^2

A = \pi r^2

Express the general form of a sinusoidal wave with period 2π.

f(x) = A\sin(\pi x + \phi)

f(x) = A\sin(\pi x + \phi)

Show the ratio of a circle's circumference to its diameter.

\frac{C}{d} = \pi

\frac{C}{d} = \pi