List of formulae involving π
The following is a list of significant formulae involving the mathematical constant π. The list contains only formulae whose significance is established either in the article on the formula itself, the article Pi, or the article Approximations of π.
where C is the circumference of a circle, d is the diameter.
where A is the area of a circle and r is the radius.
where V is the volume of a sphere and r is the radius.
where SA is the surface area of a sphere and r is the radius.
The following are efficient for calculating arbitrary binary digits of π:
See also Machin-like formula. (Angle Unit is Radian)
where is the n'th Fibonacci number.
Some infinite series involving pi are:
where
is the Pochhammer symbol for the falling factorial. See also Ramanujan–Sato series.
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