Table of Contents
How many digits of pi do we really need?
39 digits
Mathematician James Grime of the YouTube channel Numberphile has determined that 39 digits of pi—3.14159265358979323846264338327950288420—would suffice to calculate the circumference of the known universe to the width of a hydrogen atom.
How accurate do we need to know pi?
Pi is irrational. That is, the decimal expansion never ends and never repeats, so any number of decimal places we write out is an approximation. The approximation 3.14 is about ½ percent off from the true value, and the fairly well known 3.14159 is within 0.000084 percent.
Who is the inventor of pi?
pi, in mathematics, the ratio of the circumference of a circle to its diameter. The symbol π was devised by British mathematician William Jones in 1706 to represent the ratio and was later popularized by Swiss mathematician Leonhard Euler.
How many places after the decimal is the value of Pi?
After one million iterations, our answer is only accurate to 5 places after the decimal: 3.14159. The next digit is still toggling between 1 and 3, instead of settling down to the correct value of 2. We want to calculate π to a million digits, but it’s taking a ridiculous amount of time to get even 6 digits!
What are the first 50 numbers of Pi?
The first 10 and 50 digits of Pi: 3.14159265 35897932384626433832795028841971693993751. More digits: Scroll down to see the first 10,000 digits of Pi at the bottom of this page, or grab even more using the links below. Files containing digits: 10 50 100 1000 10000 100000.
What is an imaginary number in Python?
In Python, any number with a j suffix is treated as an imaginary number: Now we will try out this formula in a little test program to confirm our thinking. This is just an experiment to verify we are on the right track. We aren’t calculating a million decimal places yet, but we are getting closer.