The ability to display contour data in polar coordinates is not directly available in MATLAB.
However, the following code allows you to display contour data in polar coordinates onto a cartesian chart:
load PolarContourData;
h=polar([0 2*pi],[0 10]);delete(h);
hold on;
[theta, rho] = meshgrid(A*pi/180, R);
[X, Y] = pol2cart(theta, rho);
contour(X, Y,Z,4)
set(gca,'visible','off');
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