Plotting a Matrix solution as a circle

I have a programming problem where I have to solve for the temperature distribution in a pipe iteratively. The solution yields a matrix of Temp(r,Theta), which represents half of the pipe. Essentially, I am trying to take a square matrix solution, T(65,65), which is the solution for T(r,Theta), where r is the radius from the center and Theta is the angle around the pipe (circle), and create a contour plot of this matrix as a circle.

Is there a way to plot this square matrix, assuming I have converged correctly, as a contour plot on a circle?

Answer 1

[Andrew Newell]

The easiest approach would be to download Polar contour plot from the File Exchange.