Example of how to Check Internet Connection in Xamarin.Forms applications - http://julianocustodio.com/check-internet

MainPage.xaml.cs

using System;
using Plugin.Connectivity;
using Xamarin.Forms;

namespace DemoCheckInternet
{
	public partial class MainPage : ContentPage
	{
		public MainPage()
		{
			InitializeComponent();
		}

	        public void VerifyInternet(object sender, EventArgs e)
	        {
	                Status.Text = CrossConnectivity.Current.IsConnected ? "Connected" : "Disconnected";
	        }
        }
}