I have to plot out by hand the following curve $z(t) = 3+ie^{it}$ for $0\leq t \leq \pi$
I know that circles in $\mathbb{C}$ can be parameterized as $z(t) = c + re^{it}$ where the circle has radius $r$ and is centered at $c$. This parametrization starts at $c+r$ and traces the circle out in the counterclockwise
From this, it is telling me that it is centered at $3$ and has a radius of $i$ but a circle can't have a radius of $i$. Can someone help me clarify this and explain if there is another way to plot it?
Hint: $i=e^{i \frac{\pi}{2}}$.