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Why is the convention to express Pi in terms of the diameter rather than the radius? Arbitrary? Some good reason?
The only reason I can think of is that the diameter of a circular object is a straight line thus more easily measurable and more likely to be known than the circumference.Why is the convention to express Pi in terms of the diameter rather than the radius? Arbitrary? Some good reason?
Why is the convention to express Pi in terms of the diameter rather than the radius? Arbitrary? Some good reason?
What would be the creationist point of view regarding pi?I hope this isn't going to the controversy over the measurement of the laver in 1Kings.
What would be the creationist point of view regarding pi?
No flat chat please!How about the Flat Earth view on Pi?
I believe that the OP means, "Why diameter and not radius?"The only reason I can think of is that the diameter of a circular object is a straight line thus more easily measurable and more likely to be known than the circumference.
I just like my pi warmed up.Why is the convention to express Pi in terms of the diameter rather than the radius? Arbitrary? Some good reason?
Then it expands to as much as 3.5 and all the wheels get wobbly.I just like my pi warmed up.
Forget the 2 factor. Pi would be c/r =6.28ish.My thought is that the formula uses in terms of diameter instead of radius because it is a less complex formula that eliminates the possibility of error. For example, if pi is the ratio of the circumference to the diameter, c/d, you could substitute numbers for c and d and get the same result.
However, if you instead used the ratio of the circumference to twice the radius and used c/2r, then you may risk not always getting the same result as someone could introduce an error by using (c/2)r instead of c/(2r).
The ratio of c/d is always clear.
(There may also be something in Archimedes proof that makes diameter a better choice than ratio, but I haven't studied it.)
Not entirely different, since D = 2r.Two entirely different measurements.