Parametrizing a Circle: Solving |z-z_o| = r for z(t)

[squaremeplz]

Homework Statement

trying to parametrize |z - 2 + i | = 3

Homework Equations

|z - z_o| = r

The Attempt at a Solution

z(t) = 2 + i + 3e^(it)

im not sure if 2 + i is correct, or 2 - i.

 

[Mark44]

z - 2 + i = z - (2 - i), so the center is at 2 - i.
With that change, I think you have what you need.