How to draw this complex figure

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How to draw the curve $C$ of $z(t)$ where $C$ design $|z|=1,y \geq 0$ ,and $\sqrt{1}=-1$

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Start with $z=x+iy$ $$|z|=\sqrt{x^2+y^2}=1 \\ \implies x^2+y^2=1;y\ge0$$

The shape is a semicircle on the positive side of y.