Pi Approach Day 2023: Pi Approach Day is celebrated on July 22. It is a special occasion that pays tribute to the captivating mathematical constant π.
Twinkle Updated: Jul 22, 2023 10:23 IST
All About Pi Approximation Day
Pi Approximation Day 2023: Pi Approximation Day, celebrated on July 22, pays tribute to the mathematical constant π (pi). The date corresponds to the fraction 7/22, a common and simple approximation for π. π is an irrational number with an infinite decimal representation (approximately 3.14159…). While 22/7 is not as precise, it is widely used to simplify calculations, especially in early mathematics education. The day serves as a fun way to appreciate the importance of π, its numerous applications in geometry, trigonometry and calculus, and its enduring appeal to mathematicians and enthusiasts. It is a lovely occasion to celebrate the beauty of mathematics and its mysteries.
Pi Approach Day 2023: What is the story behind Pi Day?
Interesting facts about Pi’s approach day
- Pi is irrational and is not equal to the ratio of any two integers. Its digits are not repeated and for everyday calculations an approximation such as 3.14 or 22/7 is usually used.
- The value of pi to 39 decimal places is 3.141592653589793238462643383279502884197.
- The Babylonians used 3125 to approximate pi, which is a value they obtained by calculating the perimeter of a hexagon inscribed within a circle and assuming that the ratio between the perimeter of the hexagon and the circumference of the circle was 24/25.
- The Rhind Papyrus indicates that the ancient Egyptians used a value of 256/81 or approximately 3.16045.
- Archimedes took an important step by devising a method to obtain pi with the desired precision. He did this by inscribing and circumscribing regular polygons around a circle to obtain upper and lower limits and obtained 223/71 <π <22/7, or an average value of about 3.1418.
- Archimedes also showed that the relationship between the area of a circle and the square of its radius is the same constant.
- In the late 17th century, new methods of mathematical analysis in Europe provided improved ways of calculating pi involving infinite series. For example, Sir Isaac Newton used his binomial theorem to quickly calculate 16 decimal places.
- Indian mathematician Srinivasa Ramanujan in the early 20th century developed exceptionally efficient methods for calculating pi that were later incorporated into computer algorithms.
- Computers calculated pi to 31,415,926,535,897 decimal places in the early 21st century and also its two quadrillion digit when expressed in binary (0).
- Pi is used in various mathematical problems involving lengths of arcs or other surfaces such as areas of ellipses, sectors and other curved surfaces, and the volumes of various solids.
- Pi is also used in various physics and engineering formulas to describe periodic phenomena such as the movement of pendulums, vibrations of strings, and alternating electrical currents.
Pi Approximation Day serves as a delightful reminder of the beauty and elegance of mathematics, fostering a spirit of curiosity and appreciation for the role π plays in various fields of study. It is a day to celebrate the wonders of numbers and the universality of mathematical truths.
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