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<document xmlns="http://cnx.rice.edu/cnxml" xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" xmlns:m="http://www.w3.org/1998/Math/MathML" id="new">
  <name>What is pi?</name>
  <metadata>
  <md:version>1.2</md:version>
  <md:created>2007/05/21 12:00:59 GMT-5</md:created>
  <md:revised>2007/08/16 13:11:38.937 GMT-5</md:revised>
  <md:authorlist>
      <md:author id="cdschmit">
      <md:firstname>Christopher</md:firstname>
      <md:othername>D.</md:othername>
      <md:surname>Schmitz</md:surname>
      <md:email>cdschmit@uiuc.edu</md:email>
    </md:author>
  </md:authorlist>

  <md:maintainerlist>
    <md:maintainer id="cdschmit">
      <md:firstname>Christopher</md:firstname>
      <md:othername>D.</md:othername>
      <md:surname>Schmitz</md:surname>
      <md:email>cdschmit@uiuc.edu</md:email>
    </md:maintainer>
  </md:maintainerlist>
  
  <md:keywordlist>
    <md:keyword>&amp;pi;</md:keyword>
    <md:keyword>pi</md:keyword>
  </md:keywordlist>

  <md:abstract>This module presents a brief introduction to the commonly-assigned value of pi (approximately 3.1415).</md:abstract>
</metadata>
  <content>
    <para id="DefinePI">
 
 The mathematical constant represented by the Greek letter <m:math><m:mi>π</m:mi></m:math> should be considered nothing more than the "cheat factor" needed to convert an easily-measured parameter of a circle, namely its radius, to a not-so-easily-measured parameter, its area.  The well-known formula is given by
<m:math>
		<m:mi>A</m:mi><m:mo>=</m:mo><m:mi>π</m:mi><m:msup><m:mi>r</m:mi><m:mn>2</m:mn></m:msup></m:math>.  The value of π is just a bit over 3, but it is more accurately 3.1...or 3.14...or 3.141...or 3.1415.
Acually, it requires a never-ending number of values past the decimal point to exactly represent this nasty little number.  No wonder we use the symbol π rather than trying to write it out every time we reference it.  This way, we can just let our calculator remember the actual value (to a very high precision) whenever we need it.
Because so many things in life can be described by "motion along a circle," the value <m:math><m:mi>π</m:mi></m:math> appears very often in science and engineering.
    </para>  
  </content>
  
</document>
