Difference between revisions of "Manuals/calci/PI"

Revision as of 03:12, 7 January 2014

PI()

This function gives the value of $pi$ .
The $pi$ is a mathematical constant with a value approximate to 3.14159.
It is denoted by the Greek letter $\Pi$ .
$\Pi$ is commonly defined as the ratio of a circle's circumference $C$ to its diameter $d$ .
So $\Pi ={\frac {C}{d}}$ , the ratio ${\frac {C}{d}}$ is constant, and it is not considering the circle's size.
$\Pi$ is a transcendental number and irrational number.
Being an irrational number, $\Pi$ cannot be expressed exactly as a ratio of any two integers .
But we can express as the fraction ${\frac {22}{7}}$ is approximate to the $\Pi$ value , also no fraction can be its exact value.

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 *The <math>pi</math>  is a mathematical constant with a value approximate to 3.14159.
 *It is denoted by the Greek letter <math>\Pi</math>.
-*<math>\Pi</math>  is commonly defined as the ratio of a circle's circumference C to its diameter d.
+*<math>\Pi</math>  is commonly defined as the ratio of a circle's circumference <math>C</math> to its diameter <math>d</math>.
 *So <math>\Pi =\frac {C}{d}</math>, the ratio <math> \frac {C}{d}</math>  is constant, and it is not considering the circle's size.
 *<math>\Pi</math>  is a transcendental number and irrational number.
-*Being an irrational number,<math>\Pi</math>  cannot be expressed exactly as a ratio of any two integers .
+*Being an irrational number,<math>\Pi</math> cannot be expressed exactly as a ratio of any two integers .
-* But we can express as the fraction <math>\frac {22}{7}</math> is approximate to the  <math>\Pi</math> value , also no fraction can be its exact value.
+*But we can express as the fraction <math>\frac {22}{7}</math> is approximate to the  <math>\Pi</math> value , also no fraction can be its exact value.
 ==Examples==