How to make contour plots at a given section?

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I got a circle. It has values ranging from -5:5 at its various points including circumference. I want a similar plot as attached (describing values with different colors). Check attached image for example. Can anyone help.
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Ajay Goyal
Ajay Goyal 2016-8-30
Thank you Swarooph. I tried my problem using Origin and fortunately it worked.
KSSV
KSSV 2016-8-30
Dear Ajay
You look into the following code: www.mathworks.in/matlabcentral/fileexchange/32719-postprocessing-in-fem If this won't work..Attach your data here...It can be done with ease.

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