Does your iPad have access to the Internet? Let us assume it does.
You have many Internet Radio options to choose from using your iPad. For radio options, I suggest you look at Tune In (http://tunein.com). It offers many radio options for listening. Another option is the Internet Radio option in iTunes. Other streaming options include Pandora, Beats Music, Rhapsody, Calm Radio, Radio Paradise and many more.
The advantage of using Internet radio is that you can receive a clean signal and not have to worry about FM reception.
How is your iPad connected to the Internet? If you have a strong wi-fi signal, you are probably okay for Internet Radio. If not, you can connect your iPad to the Internet via an Ethernet cable.
I was not able to connect using an Ethernet cable. My Apple MAC Book Pro Computer has been connected to the Internet using an Ethernet over power-line connection for months (Internet over your existing power lines). It has proven to be a very reliable connection. I am using the Linksys PowerLine Home Plug AV Kit (PLSK400) rated at to 200Mbps (Ethernet over power). The Linksys PowerLine Home Plug AV Kit (PLSK400) lets you pass through the existing power lines in your home or office into a high-speed network. There are many other Ethernet Adapter brands on the market but the PLSK400 was highly recommend by a networking friend of mine.
Ethernet over power is much better connection than a wireless connection. It was very difficult for me to run another Ethernet wire from my router in my home office to my living room and the Ethernet over power solution works fine.
I hope this helps.