Question

How could you define the perimeter of a nonsimple closed curve? Give an example in your explanation.

Answer 1

Hint: Use the arc length formula to determine the correct answer.

L = int. a to b √(1 + (dy/dx)²) dx

Good luck!
hope it helps !

Answer 2

Yes i think it does thank you

Answer 3

It makes no difference if it is not simple, because you have the parametrization \[\sigma(t) \]. You can use the same formula \[\int\limits_{a}^{b}||(\sigma^'(t))^2||dt\] for open curves, closed curves, simple or nonsimple, AFAIK.

Answer 4

there is no square, mistake