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2:42
YouTube
polymathematic
Pi Is a Ratio. So How Can It Be Irrational?
Pi is, by definition, the ratio of a circle's circumference to its diameter. Pi is also, famously, irrational, which we're told means it can't be expressed as a ratio. So which is it? Check out the channel! @polymathematic The problem is the casual definition of "irrational" that gets handed out in middle school: a number that can't be written ...
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