Circle Through a Point and Tangent to a Coordinate Axis

Circle Through a Point and Tangent to a Coordinate Axis

If a circle is tangent to the $$x$$-axis, its centre has the form:

$$(h,\pm r)$$

If it is tangent to the $$y$$-axis, its centre has the form:

$$(\pm r,k)$$

Usage

- Used to reduce unknown centre coordinates when constructing a circle tangent to an axis.