Circle Tangent to Both Axes and Passing Through a Point

Circle Tangent to Both Axes and Passing Through a Point

For a circle of radius $$r$$ tangent to both axes, its centre is:

$$(\pm r,\pm r)$$

If it passes through $$(x_1,y_1)$$:

$$(x_1\mp r)^2+(y_1\mp r)^2=r^2$$

Usage

- Used to determine circles tangent to both coordinate axes and passing through a given point.