I have been using the ESRI Flex API for mapping in Flex mobile. If you check out the API reference <https://developers.arcgis.com/flex/api-reference/> and look at the Polygon class there is a "contains" method that returns a Boolean value based on whether a mappoint falls within the polygon. It would be fairly easy to get the lat and long from the Air SDK and use the contains method to determine whether the point is within your geofence.
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