The golden ratio was used to design the pyramids and also greek buildings and artifacts
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The ratio of a circle's circumference to its area is called the reciprocal of half the radius. The ratio of the circumference to its radius is called two times pi.
If you had a bag of marbles, and there were two colours - red and green - and the ratio of the coloured marbles is two times the amount of green marbles to red marbles, you would have a ratio of 2:1
Circumference (C) = diameter (D) times pi (3.141592) is the ratio of the circumference of a circle to its diameter.
As pi is the ratio of the ratio of the circumference (C) of any circle to its diameter (d), the circumference of a circle in terms of pi is: C = pi x d The circumference of a circle is pi times its diameter or 2 pi times its radius (since a diameter is 2 times the radius).
The circumference of a circle is 3.14... times its diameter.circumference = diameter X pi