round ball is a way of saying circle
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C in this case refers to the Circumference of the circle, a special way of saying its perimeter. The r refers to the radius of the circle which is the distance from the center to any point on the circle. These two are proportional.
No, It's just a different way of saying the same thing.
The outside of the circle is always the same distance from the centre. The outside of an ellipse is not the same distance from the centre all the way round.
A diameter goes all the way across a circle through the center. A radius goes half way across, from the center to any point on the circle. So a circle's diameter is two times its radius.All the way through the centre of the circle but the radius only goes half way from the centre of the circle