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In openlayers 2 there was a method "toGeometry()" on Openlayers.Bounds() that could convert that bounds into a Geometry. I migrated from ol2 to ol3 and I try to find a solution to easily do the same thing without having to define a ring with all the coordinates and then using the constructor of ol.geom.Polygon(ring). The API is not helping.. Any ideas?

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I guess you are looking for ol.geom.Polygon.fromExtent(extent).

Try to uncheck the "Stable Only" checkbox in the API docs to see all methods.

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