Can someone please help me with this.

I am trying to figure out for any circular path:

eg

y(t)=10+e^it or |z-10|=1

y(t)=i+e^3it |z-i|=1

is the magnitude simply the radius of the circle ie 10 and 1 or do i have to take into account the translation, there are no examples in my book on ML estimates so i am just practising different things .

Because i want to make sure that my ML estimates are correct.