Applying a value to a circle shape in a 2D contour plot

I have a plot of length (x) against length (y) with contours (T) over the top. I would like to impose a value of T in the shape of a semi-circle, but I am really struggling. I know how to plot circles on their own but I cant put them into this plot.
All help appreciated,
Alex

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2013-2-12

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