How do I create a polar plot with concentric colored rings corresponding to single values?

I am trying to create a plot that looks like this with rings of constant values (colors) extending from 0 to 100 in 10 unit increments.

However, my code is not producing this, and I do not know where it has gone wrong.

% values representing the colors that each ring should be, starting from the center and moving outwards in 10 unit increments. 

values = [364,358,354,348,339,335,330,325,320,310]; 

xCoord = linspace(0,2*pi,10);

yCoord = linspace(0,100,10);

[TH,R] = meshgrid(xCoord,yCoord);

[X,Y] = pol2cart(TH,R);

[Z] = meshgrid(values);

contour_ticks = 300:5:375;

figure

hold on

contourf(X,Y,Z,contour_ticks);

a=gca;
cb=colorbar;
colormap('jet');
caxis([300 375]);

This produces a plot resembling this:

Any ideas what I'm doing wrong? Any help is greatly appreciated. Thanks.

[Walter Roberson]

Please clarify the difference between this question and your earlier question http://uk.mathworks.com/matlabcentral/answers/246931-how-do-i-create-circular-patches-within-two-radii . I have no desire to waste my time answering two apparently different questions that might turn out to be the same question.

[AMart]

I don't expect you to waste your time answering both questions. This is the question that I should have posted last night. I meant to delete the previous post. Apologies; I didn't mean to cause confusion. This question is only different in the sense that I would like to construct the polar plot without the use of patches.

Answer 1

[Walter Roberson]

contourf(X,Y,Z',contour_ticks,'edgecolor','none');

Note: with your code as-is you are going to end up with a white dividing line at the origin. Your circle is not completely closed; I have not checked out why not.

[AMart]

Wow, thanks so much. I can work with this.