Difference between revisions of "Manuals/calci/PI"

Latest revision as of 09:26, 10 October 2015

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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 ==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).
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