Curvy means that you are fat. You are in denial of your fatness, and you don't wanna admit it. So you go about calling yourself curvy. It is also used to describe someone you wanna call fat, but don't wanna seem like a total bitch about it. It can also mean you have boobs and an ass, but who even uses that term of the word anymore! Seriously you guys...
Kaity, a three hundred pound, ugly girl with red cheeks, ugly red hair that is very curly and frizzy, and is very short comes up to you.
You: Geez, I think you need to go on Weight Watchers.
Kaity: No, I'm just curvy. You're soooo jealous of my boobs and ass.. Guys always check me out. It makes me uncomfortable.
You: No, they're just staring at your flab.Not your 'assets'.
Kaity: No. Stop being so jealous. Hater.
You: I only weigh 120 pounds and I'm tall... you are obese and ugly. I own you, bitch. Later.