circumference
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It is the circle's circumference
The out edge of a cup is called the 'Rim'.
It is the radius of the circle
brim
The line from the center of a circle to the edge is called a radius. The radius can be used in pi and a lot of other things. If you use the radius the wrong way, your answer will be wrong. Most people call it the " line from the center of a circle to the edge of a circle " but it's called the radius.