Question 854565
The answer to your question (r's are the same) is that they are the same! The difference is that you defined y = 2 for the sin function, but it is really y = 2 sqrt(5). Then the r for the sin is r = (sqrt5)*(sqrt5) or r = 5. In fact, the value of r must be the same!
The angle theta is in the second quadrant.