I'm not entirely sure what you are meaning to ask unless you simply aren't sure of the definitions of each.
The circumference of a circle is the length of the entire edge of a circle.
The perimeter of a polygon is the length of the entire edge of a polygon combined.
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Yes it is because the perimeter describe the outside of the figure, when also the circumference describe the outside of the circle.
Of a circle? It's the perimeter of the circle. Imagine putting measuring tape around a circle, the you would get a circumference
An arc is just part of the circumference of a circle.
The radius of a circle is from the middle to the edge, or half the diameter. The circumference is like the perimeter of the circle, and the formula is pi times the diameter.