Manuals/calci/PI

PI()

Description

• 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 Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\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 (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} 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).

See Also

• SIN
• COS
• TAN

References

Pi