Math Help - finding the maximum...?

1. finding the maximum...?

How do you do this...

find the maximum of f(x,y)= (x-1)^2 + (y-2)^2 on x^2 + y^2 less than or equal to 45 .

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2. Isn't $f(x,y)=(x-1)^2+(y-2)^2$ at a minimum at $(1,2)$ and then just gets bigger from there? Then in the circle $x^2+y^2=45$ wouldn't it have a maximum at the point most distant from $(1,2)$?