// Get the center from a polygon feature
public static Point GetCenterFromPolygonFeature(Feature feature)
{
    // Check if the feature is a polygon feature
    if (feature.GeometryType == GeometryType.Polygon)   
    {
        // Get the PolygonGeometry form the feature and return the center from it
        return feature.GetGeometryAsPolygon().Center;
    }

    // The Feature is not a Polygon, so return an empty point
    return new Point();
}