Math Constants

How to use π and e constants

Overview

The calculator includes two important mathematical constants:

  • π (pi): Circle ratio, approximately 3.141592653589793...
  • e: Natural constant, approximately 2.718281828459045...

Constants Explained

π (Pi)

Pi is the ratio of a circle's circumference to its diameter, one of the most important constants in mathematics.

  • Value: approximately 3.141592653589793
  • Input: type pi or click the π button
e (Euler's Number)

The natural constant is the base of natural logarithms, important in calculus and probability theory.

  • Value: approximately 2.718281828459045
  • Input: type e or click the e button

Syntax

pi // Circle ratio π
e // Natural constant e

Constants can be used directly in calculations or as function parameters

Examples

Example 1: Calculate circle circumference (radius 5)
Input: 2 * pi * 5
Result: 31.4159...
Example 2: Calculate circle area (radius 3)
Input: pi * 3^2
Result: 28.2743...
Example 3: Calculate sin(π)
Mode: RAD
Input: sin(pi)
Result: 0
Or approximately 0 (floating point precision)
Example 4: Calculate e^1
Input: e^1
Result: 2.7182...
Example 5: Calculate ln(e)
Input: ln(e)
Result: 1
Example 6: Euler's formula simplified
Input: e^(pi * 0)
Result: 1
Simplified form of Euler's identity e^(iπ) + 1 = 0

Important Notes

  1. No parentheses needed when typing pi
  2. π and e are precise values with high precision in calculations
  3. In radian mode, trigonometric functions often use π
  4. e is most commonly used with natural logarithm ln

Related Topics

Trigonometric Functions Logarithm Calculator Degree & Radian Conversion