what is the true meaning and exact value of pi?
http://en.wikipedia.org/wiki/Pi
pi cannot be expressed "exactly" as either a fraction or a decimal.
It is an irrational number.
If you take the circumference of a circle and divide it by the diameter, you get the value of pi.
the value of pi correct to 7 decimal places is 3.1415926
The true meaning of pi (π) is the mathematical constant that represents the ratio of a circle's circumference to its diameter. In simple terms, it is the number you get when you divide a circle's circumference by its diameter. Pi is an irrational number, meaning it cannot be expressed as a finite decimal or a fraction.
The exact value of pi is an infinitely long decimal, but it is commonly approximated as 3.14159. However, if you need a more precise value, you can use a calculator or computer software that can calculate pi to many decimal places. Most calculators have a pi button, and you can simply press it to obtain an approximate value of pi.
If you want to calculate pi by yourself, you can use various methods. One of the most famous methods is the "Monte Carlo" method, which involves randomly throwing darts at a square board inscribed with a circle and counting the number of darts that land inside the circle. By using the ratio of darts inside the circle to the total number of darts thrown, you can approximate the value of pi.
Alternatively, mathematicians have developed many different algorithms and formulas, such as the Gregory-Leibniz Series or the Bailey-Borwein-Plouffe Formula, to calculate pi to high precision. These methods involve advanced mathematical techniques and are typically implemented in computer programs or specialized software.
In practice, the value of pi to several decimal places (such as 3.14 or 3.14159) is sufficiently accurate for most everyday applications. However, for scientific or mathematical calculations requiring higher precision, more decimals of pi may be necessary.