Like Mark said, Jagon, there just isn't enough information to go on.
The Honda Civic has a form 24 battery which is smaller than the form 28 that's normally installed in most V6 Hondas. Nonetheless, it's big enough to power the radio even without the engine running. I suspect you have a bad alternator and/or a bad battery, and the next place you should take the car is to your dealer for a checkup.
Alan, KØBG
www.k0bg.com