Difference between revisions of "Manuals/calci/PI"

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<div style="font-size:30px">'''PI()'''</div><br/>
 
<div style="font-size:30px">'''PI()'''</div><br/>
 
  
 
==Description==
 
==Description==
 
*This function gives the value of <math>pi</math>.
 
*This function gives the value of <math>pi</math>.
*The <math>pi</math> is a mathematical constant with a value approximate to 3.14159.
+
*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>.
 
*It is denoted by the Greek letter <math>\Pi</math>.
 
*<math>\Pi</math>  is commonly defined as the ratio of a circle's circumference <math>C</math> to its diameter <math>d</math>.  
 
*<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.
+
*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.  
+
*<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==
 
==Examples==
#=Pi() = 3.141592653589793
+
#=PI() = 3.141592653589793
#=Pi()/4 = 0.785398163
+
#=PI()/4 = 0.785398163
#=Pi()/180 = 0.017453293
+
#=PI()/180 = 0.017453293
#=Pi()/(22/7) = 0.999597663
+
#=PI()/(22/7) = 0.999597663
#=Pi()*(5^2) = 78.53981634(Area of circle with r=5)
+
#=PI()*(5^2) = 78.53981634(Area of circle with r=5)
#=2*Pi()*5 = 31.41592654(Circumference of a circle with r=5).
+
#=2*PI()*5 = 31.41592654(Circumference of a circle with r=5).
 +
 
 +
==Related Videos==
 +
 
 +
{{#ev:youtube|jyLRpr2P0MQ|280|center|PI}}
  
 
==See Also==
 
==See Also==
*[[Manuals/calci/SIN  | SIN   ]]
+
*[[Manuals/calci/SIN  | SIN ]]
 
*[[Manuals/calci/COS  | COS ]]
 
*[[Manuals/calci/COS  | COS ]]
*[[Manuals/calci/TAN  |TAN   ]]
+
*[[Manuals/calci/TAN  | TAN ]]
  
 
==References==
 
==References==
 +
[http://en.wikipedia.org/wiki/Pi Pi]

Latest revision as of 10:26, 10 October 2015

PI()


Description

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

Examples

  1. =PI() = 3.141592653589793
  2. =PI()/4 = 0.785398163
  3. =PI()/180 = 0.017453293
  4. =PI()/(22/7) = 0.999597663
  5. =PI()*(5^2) = 78.53981634(Area of circle with r=5)
  6. =2*PI()*5 = 31.41592654(Circumference of a circle with r=5).

Related Videos

PI

See Also

References

Pi