Check Internet Connectivity Status

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C#

I want to check the internet connectivity thro c#.My computer is connected with Network only internet is disabled.How do i find the internet connectivity status.
The following code is not suitable for my requirement.it returns true even only network is connected and internet disabled.

[DllImport("wininet.dll")]
  private extern static bool InternetGetConnectedState( out int Description, int ReservedValue );
  public static bool IsConnectedToInternet( )
  {
    int Desc ;
    return InternetGetConnectedState( out Desc, 0 ) ;
  }

This(following) code works but takes more time and makes my application hangs,

System.Net.HttpWebRequest req = (System.Net.HttpWebRequest)System.Net.WebRequest.Create("http://www.google.com");
                req.Method = "HEAD";

                System.Net.HttpWebResponse resp = (System.Net.HttpWebResponse)req.GetResponse();
                resp.Close(); return true;

Is any other good way to check internet connectivity status.
All your Suggestions are appreciable!!!