Art of Problem Solving

Pi: Difference between revisions

Mathgeek2006 (talk | contribs)
Cosinator (talk | contribs)
m Symbol for pi
Line 1: Line 1:
== Definition ==
== Definition ==
'''Pi''' is an [[irrational]] number.  It is the ratio of a circle's circumference, or perimeter, to its diameter.  It is roughly equal to 3.141592653.  The number pi is usually only useful when dealing with [[circle|circles]], [[sphere|spheres]], and discs.  The fractional approximation for pi (not exact) can be <math>\frac{22}{7}</math>.  The exact formula for pi is <math>4\left( \sum_{i = 0}^\infty (-1)^i \left(\frac{1}{2n+1}\right)\right) </math>
'''Pi''' is an [[irrational]] number denoted by the greek letter <math>\displaystyle \pi </math>.  It is the ratio of a circle's circumference, or perimeter, to its diameter.  It is roughly equal to 3.141592653.  The number pi is usually only useful when dealing with [[circle|circles]], [[sphere|spheres]], and discs.  The fractional approximation for pi (not exact) can be <math>\frac{22}{7}</math>.  The exact formula for pi is <math>4\left( \sum_{i = 0}^\infty (-1)^i \left(\frac{1}{2n+1}\right)\right) </math>


== See Also ==
== See Also ==
*[[Circle]]
*[[Circle]]

Revision as of 07:39, 24 June 2006

Definition

Pi is an irrational number denoted by the greek letter $\displaystyle \pi$. It is the ratio of a circle's circumference, or perimeter, to its diameter. It is roughly equal to 3.141592653. The number pi is usually only useful when dealing with circles, spheres, and discs. The fractional approximation for pi (not exact) can be $\frac{22}{7}$. The exact formula for pi is $4\left( \sum_{i = 0}^\infty (-1)^i \left(\frac{1}{2n+1}\right)\right)$

See Also