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The distance around the out side of a figure is?
You get a curve. If you join them along the shortest [Euclidean] distance between them, you get a straight line.
If the shape is circle then circumference. If any other form (non-symmetrical) then you can measure the area with integration from Calculus.
that distance is called the perimeter of the figure.
The distance around a figure is called the "perimeter", unless the figure is a circle - in that case, it is called the "circumference".