Difference between revisions of "Manuals/calci/PI"
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*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 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. | *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> | + | *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== | ||
Revision as of 04:12, 7 January 2014
PI()
Description
- This function gives the value of Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle pi} .
- The Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle pi} is a mathematical constant with a value approximate to 3.14159.
- It is denoted by the Greek letter Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \Pi} .
- Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \Pi} is commonly defined as the ratio of a circle's circumference Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle C} to its diameter .
- So Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \Pi =\frac {C}{d}} , the ratio Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \frac {C}{d}} is constant, and it is not considering the circle's size.
- Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \Pi} is a transcendental number and irrational number.
- Being an irrational number,Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \Pi} cannot be expressed exactly as a ratio of any two integers .
- But we can express as the fraction Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \frac {22}{7}} is approximate to the Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\displaystyle \Pi } value , also no fraction can be its exact value.
.Examples
- Pi()=3.141592653589793
- Pi()/4=0.785398163
- Pi()/180=0.017453293
- Pi()/(22/7)=0.999597663
- Pi()*(5^2)=78.53981634(Area of circle with r=5)
- 2*Pi()*5=31.41592654(Circumference of a cidcle with r=5).