MATLAB: Polar plot to create circular shape with varying radius

plotpolar

Hi Everyone,
I'm new to polar plotting and I'm struggling to sucesfully plot what I'm after.
I want to polar plot a random variable around an origin of my choice. I have tried to do this through the following code:
k = round(rand(1,50)*10)+10;
Th = linspace(0,2*pi,50);
Rho = k.*sin(Th);
figure
polar(Th,Rho)
However, this isn't quite working. As all the values are positive it's cramping the plot in the top 2 quadrants. Please see attached plot for what I mean. I have sketched the kind of plot I am after (apologies for how rough this sketch is) but any ideas would be realy appreciated.
Thanks everyone!

Best Answer

Plotting the sine function in a polar plot will produce one circle in the upper half of the polar axes.
To get the sort of plot you want, do this: 
figure
polar(Th,k)
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