There's a continent called Asia
where India, Pakistan, Sir Lanka, Bangladesh and 43 other countries are sitting squarely on it.
It's called Science
But yes, I too was very confused when I first noticed brown people answering to to the word "Asian" in popular media and current affairs, but then I learnt to roll with it.
Here's a trick that might save you from a beating someday... "New words" are more often less racist than "old words". If you keep learning new words, the worst they can call you is a neoracist.