Share your favorite equation, function, theorem, law, or property in which Pi plays a role. Try to write it out using text, or paste a link to a web page about the equation.
Share your favorite equation, function, theorem, law, or property in which Pi plays a role. Try to write it out using text, or paste a link to a web page about the equation.
The newest π approximation that I made up: 710/226
Mine is also Ramanujam’s, as Clay’s below, and also much thrilled by the the little sum: Find the volume of a pizza of radius z, and height a … the answer turning out to be the hero of the sum itself!
Four times the integral of 1/(1 + x^2) dx evaluated between zero and one is pi.
I think that’s cool. A connection between something algebraic and something geometric. Sweet.
2(Pi)R = Potato.
Pi divided by Pi is 1
The legendary Elizabeth Zimmerman created the Pi Shawl - “So named PI, because this shawl is based on the mathematical principal, EZ says “the geometry of the circle hinging on the mysterious relationship of the circumference of a circle to its radius. A circle will double its circumference in infinitely themselves-doubling distances, or, in knitters’ terms, the distance bettween the increase-rounds, in which you double the number of stitches, goes 3, 6, 12, 24 and so on.”
http://www.schoolhousepress.com/kits.htm
Pi has been used to knit everything from doilies to afghans using this ingenious application. EZ, we bow to you.
I love Pi!!
My favorite formula for pi is Ramanujan’s absolutely insane yet beautiful equation:
http://www.curiousmath.com/images/ramanujan_pi.jpg
It’s gotta be the classic formula - the Euler identity.
exp(i*Pi) + 1 = 0
Elegant in its simplicity. :D
Some people define sinc( x ) = sin( x ) / x,
but I prefer sinc( x ) = sin( pi x ) / ( pi x ),
so sinc( x ) = 0 for x = 1, 2, 3, …
A graph compares the two definitions here:
http://en.wikipedia.org/wiki/Sinc_function
e to the quantity pi times i equals negative one.
The simple series, named for Leibniz (1646 - 1716), pi/4 = 1/1 - 1/3 + 1/5 - 1/7 + 1/9 . . . is my favorite because it gives you a way to calculate pi by hand or with a calculator.
Euler’s identity!
e^(i*Pi)+1=0
e^(Pi*i)+1=0
e^(pi*i)=-1
quadratic equation dosent have pi
I love the quadtratic equation.
CIRCUMFRANCE OF A CRICLE: radius times two (example: radius equals 5); then your answer is 10 pi!!!!!!!!! :D