- #1
decibel
- 107
- 1
what does pi mean, and where did it come from, i know its 3.141592654, but i also know there's a lot more decimal places then that, does anyone know anything about it?
what does pi mean
The_Professional said:I believe the number goes to infinity after the decimal point.
ahrkron said:I know you mean no harm, but just be careful how you phrase it. It is true that there is an infinity of digits after the decimal point, but, in math, "goes to infinity" usually means that the quantity itself grows without bound, while pi is no larger than 3.2.
Since the two are the same, it doesn't really matter. In practice, the ratio of diameter to circumference is much easier to deal with than the ratio of square of radius to area.vertigo said:My question is this: is PI defined as the ratio of circumference to diameter, or as the area of a circle of radius 1?
Pi is a mathematical constant that represents the ratio of a circle's circumference to its diameter. It has been studied and used in mathematics for thousands of years, with its earliest known calculation dating back to ancient Babylon and Egypt.
The ancient Greek mathematician Archimedes is credited with first approximating the value of pi around 250 BC. He used a method of inscribing and circumscribing polygons within a circle to calculate an upper and lower bound for pi.
A number is considered irrational if it cannot be expressed as a ratio of two integers. Pi is irrational because it has an infinite and non-repeating decimal expansion, meaning it cannot be represented as a fraction.
The record for the most digits of pi calculated is over 31 trillion, and it is still being calculated to this day. However, for most practical purposes, using the first few digits (3.14) is sufficient for calculations.
Pi is a fundamental constant in mathematics and is used in various fields such as geometry, trigonometry, and calculus. It has practical applications in engineering, physics, and other sciences. It also has cultural significance and has been celebrated on "Pi Day" (March 14th) by mathematicians and enthusiasts around the world.