# Pi Day

Pi Day is an occasion celebrated every year on Spring fourteenth (3/14) to respect the numerical consistent pi (π), which addresses the proportion of a circle’s outline to its measurement. Pi has a limitless number of decimal places and is roughly equivalent to 3.14159.

Pi Day was first formally acknowledged in 2009 by the US Place of Delegates, and it has since turned into a famous festival of math and science all over the planet. Individuals observe Pi Day in different ways, for example, presenting pi, baking pies, or partaking in math-related exercises and occasions.

Pi Day isn’t just a festival of pi itself yet in addition a method for advancing and motivate interest in math and science. It is a chance to perceive the commitments that arithmetic and science make to our regular day to day existences and to support individuals, everything being equal, to become familiar with these fields.

## Pi Day is a noteworthy day for a number of reasons:

Celebration of Pi: For thousands of years, mathematicians have been captivated by Pi, a special mathematical constant. People can commemorate this remarkable number and also its significance in mathematics on Pi Day.

Education: Pi Day is a fantastic chance to teach everyone, especially schoolchildren, about mathematics and its real-world uses. Pi Day is frequently used by schools as a way to get pupils involved in math-related activities and celebrations.

Community: Pi Day is now a well-known celebration that brings people from all walks of life together to honour math and science. Events celebrating Pi Day offer a sense of community and a chance to interact with individuals who share a passion of math and science

Fun: Pi Day is a light hearted and amusing holiday that promotes having fun while learning about math and science. Pi Day gives individuals the chance to have fun while celebrating math and science by doing things like preparing and eating pies and reciting pi to hundreds of decimal places.

## Origin of pi

The mathematical constant pi has been known for thousands of years, and its exact origins are not entirely clear. The earliest known written approximations of pi date back to ancient civilizations such as Babylon and Egypt, where pi was estimated to be around 3.125 and 3.16, respectively.

The first rigorous mathematical calculation of pi was made by the ancient Greek mathematician Archimedes in the 3rd century BCE. Archimedes used a geometrical method to calculate the value of pi, and he was able to obtain an upper and lower bound for pi by inscribing and circumscribing circles within polygons. His calculation showed that pi was between 3.1408 and 3.1429.

The symbol for pi (π) was first used by Welsh mathematician William Jones in 1706, and it was later popularized by Swiss mathematician Leonhard Euler in the 18th century. The symbol π is derived from the Greek word for “perimeter” (περίμετρος), which is appropriate given that pi is used to calculate the perimeter of a circle.

Today, pi is a fundamental mathematical constant that is used in a wide range of scientific and mathematical applications, from calculating the circumference and area of circles to solving complex equations in physics, engineering, and finance.

## History of pi

The history of pi, or the ratio of the circumference of a circle to its diameter, is a long and fascinating one that spans thousands of years. Here are some key moments in the history of pi:

• Ancient civilizations: The earliest known written approximations of pi date back to ancient civilizations such as Babylon and Egypt, where pi was estimated to be around 3.125 and 3.16, respectively.
• Ancient Greek mathematics: The first rigorous mathematical calculation of pi was made by the ancient Greek mathematician Archimedes in the 3rd century BCE. Archimedes used a geometrical method to calculate the value of pi, and he was able to obtain an upper and lower bound for pi by inscribing and circumscribing circles within polygons.
• Islamic mathematics: Muslim mathematicians in the Middle Ages made significant contributions to the study of pi, with scholars like Al-Khwarizmi, Abu’l-Wafa, and Al-Kashi making increasingly accurate approximations of pi.
• European Renaissance: The Renaissance saw a renewed interest in mathematics and science, and mathematicians like Johannes Kepler and Ludolph van Ceulen made significant contributions to the study of pi, with van Ceulen calculating pi to 20 decimal places.
• Modern era: The development of calculus in the 17th century and the invention of computers in the 20th century have allowed mathematicians to calculate pi to many more decimal places. In 1947, John von Neumann and his team used an electronic computer to calculate pi to over 2,000 decimal places.

Today, pi is a fundamental mathematical constant that is used in a wide range of scientific and mathematical applications, from calculating the circumference and area of circles to solving complex equations in physics, engineering, and finance.

## Famous date regarding pi

Pi Day is observed on March 14, sometimes known as 3/14, and is a well-known date in relation to pi. The United States House of Representatives established Pi Day in 2009 as a means to honour the mathematical constant pi, which is roughly equivalent to 3.14159. Since then, Pi Day has grown to be a well-known day of mathematics and scientific appreciation all across the world. People celebrate in a variety of ways, including by reciting pi, creating pies, and taking part in math-related activities and events.

Another well-known date associated with pi is July 22nd, or 22/7, often known as “Pi Approximation Day.” The ancient Greeks thought pi to be 22/7, or roughly 3.142857, hence this date marks their historical approximation of pi. Even though the new approximation of pi is more exact, this number is nevertheless frequently employed in various calculations today.

Overall, pi is an intriguing and significant mathematical constant that has fascinated mathematicians and scientists for hundreds of years and is still honoured and researched today.

## Observers of pi throughout history

Famous mathematicians and scientists have contributed significantly to our understanding of pi by researching this crucial mathematical constant. Here are several well-known pi observers:

Archimedes: Maybe the earliest well-known observer of pi was the Greek mathematician Archimedes. He determined an upper and lower bound for pi using a geometrical method, and his results indicated that pi lay between 3.1408 and 3.1429.

Leonhard Euler:- Switzerland’s Leonhard Euler is a mathematician. One of the most productive mathematicians in history, Leonhard Euler contributed significantly to several branches of the subject, including the study of pi. Euler made significant advances to our comprehension of the mathematical properties of pi by being the first to utilise the symbol to represent pi in mathematical equations.

John Wallis: The infinite product representation of pi, which enables pi to be written as an endless product of fractions, was originally used by English mathematician John Wallis.

Carl Friedrich Gauss: The German mathematician Carl Friedrich Gauss made important contributions to the study of pi and created a formula for determining how many digits pi has in its decimal representation.

Srinivasa Ramanujan: Srinivasa Ramanujan, an Indian mathematician, made significant advances in the understanding of pi and created numerous new formulas and approximations for pi that are still in use today.

## Calculating pi

Mathematicians have devised numerous techniques throughout the years to approximating pi’s value because it is a difficult and complex task. Many of the most popular techniques are listed below:

1. Geometrical method: One of the earliest methods for calculating pi was the geometrical method used by Archimedes. This involves inscribing a polygon within a circle and circumscribing a polygon around the circle, and then using the perimeters of the polygons to calculate upper and lower bounds for pi.
2. Series expansion: Another common method for calculating pi is to use a series expansion, such as the infinite series developed by the mathematician John Wallis. This involves expressing pi as an infinite sum or product of mathematical terms, which can be calculated to increasing levels of accuracy.
3. Monte Carlo method: The Monte Carlo method is a probabilistic method for calculating pi, which involves randomly generating points within a square and counting the number of points that fall within a circle inscribed within the square. By comparing the ratio of the points inside the circle to the total number of points generated, an approximation for pi can be obtained.
4. Computer algorithms: With the advent of computers, mathematicians have been able to use complex algorithms to calculate pi to many more decimal places than was previously possible. One example of this is the Bailey-Borwein-Plouffe (BBP) formula, which allows for the computation of individual hexadecimal digits of pi without the need to compute any of the preceding digits.

In conclusion, for thousands of years, mathematicians and scientists have studied and praised pi, a fundamental mathematical constant. It is employed in a broad variety of mathematical and scientific applications, and its value is around 3.14159. Several well-known pi observers throughout history, such as Archimedes, Leonhard Euler, John Wallis, Carl Friedrich Gauss, and Srinivasa Ramanujan, have made substantial contributions to our understanding of this crucial constant. Pi is still studied and observed today all throughout the world, and occasions like Pi Day and Pi Approximation Day contribute to bringing attention to the value and allure of mathematics.