Math with Bad DrawingsCartoon Archive

Pi Formula: Machin's Machine

March 14, 2016

Machin's formula as a machine that turns 1/5 and 1/239 into pie.

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Free for classrooms, worksheets, slides and other non-commercial use under CC BY-NC 4.0, with credit to Ben Orlin.

Cartoon by Ben Orlin, Math with Bad Drawings. https://cartoons.mathwithbaddrawings.com/2016-03-14-pi-formula-machin-s-machine/ (CC BY-NC 4.0)
Transcript

"Machin's Machine" [1/5 and 1/239 ride a conveyor into a box; a pie comes out] π = 16 arctan(1/5) − 4 arctan(1/239)

Topics
Number & Arithmetic › PiTrigonometry › Inverse Trig FunctionsCalculus › Series › Arctangent Series
Level
High SchoolCalculusCollege
Themes
History & HolidaysPoems & SongsMathematiciansPuns
People
John Machin