Pi Introduction The Circle. The Circle is known to be one of the most popular shapes in all generations, and it’s one of the hardest to understand how it works. Many upon many great and smart people over thousands upon thousands of years have devoted a lot of their time to go deep into the blueprints of a circle and find out how it works, and only a few succeeded/came close. That’s how Pi was created, and it’s one of the most popular math concepts in the world.
William Jones, in 1706, somewhat created the concept of pi, or in better words, made a clear algorithm of what pi really is. His concept was tested, applied, and calculated many times over many generations, and almost everyone agreed that his concept is correct and is the most accurate yet.We still don’t know if pi has an ending, but future technology may be able to answer that question, but as of now, no one knows.
Even though Jone’s approximation is the most accurate and popular, Pi is still a mystery that has yet to be fully, 100% accurately discovered, even after all of the years it has been applied.Explanation of PiPi is obviously applicable in a circle. Pi is the circumference/Diameter, no matter the size of the circle, it will always equal the same very long number, 3.141592… Pi goes on forever (irrational number), which is why reciting the number Pi (atleast to 100 digits) is very impressive. The person who recited the most digits without any external help is Lou Chao, who recited 67,000 decimal places. Since pi is a infinite number that doesn’t repeat, we use the symbol for pi, which is “?” The symbol of pi comes from the sixteenth letter in the greek alphabet, ?, which represents the sound of “p.” Here are some equations for a circle that have pi involved: ?=3.
14, 2r=diameter, d/2=radius, 2?r=Circumference, ?d=circumference, ?r=half of circumference. Of course, Pi is a lot more complicated than that, but that’s a general explanation of what pi is.History of PiAs stated before, many upon many generations of people tried to figure out the concept of the circle, and many came close.
The Rhind Papyrus tells us that egyptians had a very good approximation of the area of the circle, which they concluded with 3.1605. The Babylonians also had a good decryption of the area of a circle, they did this by taking 3 times the square of its radius, which gave them 3.125.
The first and most accurate of pi during ancient times was done by the Greek Mathematician Archimedes of Syracuse. Archimedes used the Pythagorean theorem on two polygons, one inside a circle and one with the same circle in it. He concluded an approximation of what pi could be, which is 3.1408. During the 5th century, a Chinese mathematician, Zhu Chongzhi, also strived to figure out the circle and pi, and came out with the same accuracy as Archimedes. His best approximation was 355/113 (3.141592920353982…).
William Jones is the man who coined the pi that we still use today. By going off of what past philosophers approximated, he came up with ?=3.14159.. He did state that pi is an infinite number, and using a symbol will make it simpler, so he used the greek letter ?. Though his discovery wasn’t as popular until 1737 when Leonhard Euler made the use of the symbol and its mathematical meaning popular. Many people after Jone’s time tried to calculate how far Pi goes, some going up to 707 decimal places.
Later on in the 20th century, Takahashi Kanada calculated Pi with a computer to the 10 trillionth digit.Applications of PiMathematics specifically isn’t the only field in which pi is used. Many day to day careers have to have at least the basics of pi used. In Electrical Engineering, pi is used to solve electrical applications. In a medical field, pi helps doctors study the measurements of the human eye. Biochemists use pi to help study the structure/function of DNA. Pi also helps examine light waves, sound waves, and radioactive particle distribution (amazingarchimedes.weebly.
com). Pi, of course, can be used in many other shapes, equations, etc. Some examples being the volume of a cylinder is V = ?r^2h and the buckling formula, which is F= ?^2EI/(KL)^2. More equations are with pi involved are used in calculus and physics. Some equations are the Efficient infinite series and integrals.
Pi is infinitely complicated and as stated before, may always be a mystery in all generations. Some say it may not have an end, some disagree. Conclusion To conclude, Pi is widely known to be the most popular and unknown concept in math history. Many generations, including the ancient egyptians, babylonians, greeks, chinese have tried to figure out the concept, and some did come close. It all came to the work of William Jones, who gave the most accurate approximation of pi in 1706, and gave it a symbol, which is the sixteenth greek letter, ?. Pi is simply the circumference/diameter, and in any size of the circle, it will always equal ~3.14. Pi is applied in many fields that require a great understanding of the circle and many other shapes (since pi can apply to other shapes).
Many equations, whether math or physics, use pi to help understand what the equation equals, one example being the buckling equation in physics. Even though Jone’s approximation is the most accurate and popular, Pi is still a mystery that has yet to be fully, 100% accurately discovered, even after all of the years it has been applied.