ArcGIS model builder iterate polygon creation

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I have contour lines in a feature class. I covert the closed lines into polygons using the 'Feature to Polygon' tool. With this method I get concentric stripes, but I need the area of each area enclosed by a polygon.

For better understanding see the picture below. So I have the two contours - A and B. If if convert them by using the 'Feature to Polygon' tool on the whole featureclass I get the areas in option one: area enclosed by contour A, and a stripe between A and B. But I need option 2: the area enclosed by A and the area enclosed by B.



To do this I tried to run the 'Feature to Polygon' tool in model builder using on the output of a Feature Selection iterator, but I got an empty feature class.



What am I missing or the iterator tool is a wrong choice?



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