The magical number π

Sana Khan Jul 22, 2021

Found around 4,000 years ago, the Egyptians and Aryabhata stumbled across this fixed ratio and have found π (Pi) to be an intriguing constant. Apart from being a math teacher’s favourite dessert, the mathematical symbol Pi is used in different subjects in various ways.

Here are 4 diverse disciplines related to mathematics that use Pi:

Geometry and Trigonometry: Pi is not only used to calculate the radius and circumference of the circle. Spheres, ellipses, and integrals equate to 3.14 while calculating their volume area and surface areas. To calculate trigonometric functions and their angles, we rely on Pi to naturally describe any angle θ and derive the value of radians.

Probability and statistics: This magical number helps in computations, appearing in fundamental equations to study probability. Pi is made up of trillions of digits, such that any number be, for example, can find our date of birth, phone number or even bank or credit card number can be found in it. To track a country's population, Pi is used to understand the number of people and determine crucial ratios. Using the derived numbers, a standard probability curve is plotted to understand the normal distribution.

Radiology: Sound is all around us and along with it comes Pi. We are dependent on light and sound waves, and these have multiple uses in our everyday life. Found in the sine waves, it can help take an ultrasound of a baby in a womb, study the way springs bounce, pendulums swing, and strings vibrate! Ocean waves can also be studied through this constant, measuring their frequency, wavelength, and amplitude.

Architecture: Pi is often used by architects to determine the amount of material required to create a structure or building. It is associated with curvature and determines the size of a pillar, pipe, or wire necessary for construction. While setting up bridges, arches, churches, and buildings, π is the magical formula that is used. E.g., Pi was found in the measurements of the Great Pyramid of Giza in Egypt. The vertical height and base share the same relationship, just as a circle’s radius and circumference.

Being one of the most recognized constants, the efforts to determine its nature and connections still goes on today. Pi’s connection with the world is not here to stop; it will go on forever.