Needing equations of points X,Y,Z of circle in 3d space given radius, origin as vecto

[ryanstortz]

Hi, I am creating a 3d model and I need to have a way to derive the equations for points X,Y,Z of a circle in a standard 3d vector system, where the radius, origin of the circle, and angle of Z (degrees) are provided. For example, If I have a circle that has a radius of 360 units, origin at 0,0,0 and angle of Z is 0 degrees, I can easily plot this with the 2-dimensional equation of a circle since Y is going to remain at 0. If I change angle of Z to say 42 degrees, how would I arrive at the equations necessary to plot that circle?

P.S. If you need to have a vector on the circle, I believe (0,0,360) will always be one in this case, as well as (0,0,-360).

Thank you.

 

[tkhunny]

What do you know of "Spherical Coordinates"?

 

[ryanstortz]

I've heard of it, but I am not familiar with it, I failed calculus. I was really looking for some cartesian equations or an explanation, unless you have an equation to convert from spherical coordinates to cartesian vectors, which is what I will be doing the rest of the model in.