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Fill in the blank. the special number that relates the diameter of a circle to its circumference is _____.

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The special number that relates the diameter of a circle to its circumference is π (pi).

User Aularon
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\pi

π is defined as the ratio of a circle's circumference to it's diameter, which is why it almost seems odd that the number itself is a so-called irrational number, one which can't be written as a fraction, no matter what you pick for the numerator and denominator.

User Scott Holtzman
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