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If the shape is a regular polygon or curve there are formula for each shape. If the shape is irregular you will have to measure each piece of the shape's edge and sum all the pieces together.
Identify each shape
The distributions can have any shape that you like.
None. The vertices, the scale factor as well as the centre of dilation can each be defined independently of the other two. Each different combination will result in a different image.
They each are 170.'270' degrees repeating '270'