Sphere Tangent to a Coordinate Plane

Sphere Tangent to a Coordinate Plane

For sphere with centre:

$$C(a,b,c)$$

and radius $$r$$, it is tangent to the $$xy$$-plane if:

$$|c|=r$$

It is tangent to the $$yz$$-plane if:

$$|a|=r$$

It is tangent to the $$zx$$-plane if:

$$|b|=r$$

Usage

- Used when a sphere is tangent to one of the coordinate planes.