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## Homework Statement

Write the equation of a circle in complex number notation: The circle through 1, i, and 0.

## Homework Equations

## The Attempt at a Solution

I know the equation for a circle with complex numbers is of the form |z-a| = r where a is the center point and r is the radius. I don't know how I'd go about finding it where they only give you 3 points like this. I assume the points correspond to complex numbers like w = x + iy == (x,y) so they'd be (1,0) (0,1) and (0,0)? I'm not sure where to go next and any help would be appreciated! thanks!