# What is the parametric equation of a sphere?

##### 1 Answer

#### Explanation:

One common form of parametric equation of a sphere is:

#(x, y, z) = (rho cos theta sin phi, rho sin theta sin phi, rho cos phi)#

where *radius*, *longitude* and *colatitude*.

Since the surface of a sphere is two dimensional, parametric equations usually have two variables (in this case

**Footnote**

If you are determined to have a parametric equation with just one variable

Such a surjection can even be made continuous. I'll see if I can put together a simple short formulation.