You Are Right vs You Have the Right to

There are two expressions with which seem to be a bit problematic for students of English. Both of them contain the word right:

You are right - it means that you have said something that is true. Opposite - you are wrong.
I think you're right. We should have set out earlier.
I think the Prime Minister is only half right.
Am I right in thinking that you two have met before?

You have the right to do sth - it means that you are morally, legally, or officially allowed to do or have something:
You have the right to consult a lawyer.
Everyone should have the right to freedom of expression.