How to create a circle with segments of specific colors

I am trying to create an image of a circle with inner and outer radius, that is divided radially in segments. Then I would like to fill the segments with four solid colors (r b y m) that will repeat around the segments with theta. Ideally each different collor segment will subtend different angle.

rInner = 180; % inner radius of the colour ring

rOuter = 200; % outer radius of the colour ring

ncols = 20; % number of colour segments

[x, y] = meshgrid(-rOuter:1:rOuter);

[theta, rho] = cart2pol(x, y);

Here is an example the circle, it should close but it was bad choice of the angles.

[Rik]

Can you make a small example in paint of what you mean?

[Image Analyst]

And you can't adapt my answer below to do that?

Answer 1

[Image Analyst]

See attached demo and adapt as needed.