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'pi' is the lower case letter 'p' from the Classical Greek Alphabet.

It refers to 'proportion, because for all circles, however, large of small , the constant of proportion (p/pi) between the circumference and the diameter is 3.141592.... , which is an irrational number, which means it cannot be converted to a ratio/fraction. Casually, the decimals recur to infinity and there is no regular order in the decimal digits.

Algebraically,

Circumference is directly proportional to diameter.

Reduced to letters

C is directly proportional to d.

This is then equated with a constant(k)

C = k*d

k = C/d

From ancient times the 'k' was substituted by 'pi/p' as it refers to 'proportion'.

Hence we have

pi = C/d

or

C = pi*d

'd' being the length of two(2) radii is substitutied again as

C = 2pir

In school/college, when learning about circle geometry, you will probably be given pi = 3.14, 3.1416 or 22/7 . These figures are only APPROXIMATIONS, but are given for ease of learning.

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lenpollock

Lvl 17
2w ago

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