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Solution to my question is:

angle=[0.03*pi:0.01*pi:0.25*pi]; radius=ones(size(angle)); radius(1)=0;radius(size(angle))=0; h=polar(angle,radius,'g'); patch(get(h,'XData'),get(h,'YData'),[0 1 1]); hold on; t = 0:.01:2*pi; polar(t,sin(2*t).*cos(2*t),'r')

Do we have anything that works similar to shade command for rectangular plots? We am making a polar plot and I want to shade the region between the two angles.

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