Circle in Complex Form

Rarely Tested

Circle in Complex Form

## Formula

A circle with centre $z_0$ and radius $$r$$ is:

$$|z-z_0|=r$$

If:

$$z_0=a+ib$$

then:

$$|z-(a+ib)|=r$$

In Cartesian coordinates:

$$(x-a)^2+(y-b)^2=r^2$$

## Usage

- Used to convert between complex and Cartesian equations of circles.

No related questions available for this formula yet.

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