confusing area...............

Calculus Level pending

Let \( f(r) \) denotes the number of integral points in a circle of radius r then evaluate \[ \lim _{ r\xrightarrow { } \infty }{ f(r)/\pi } r^ 2\]

If your answer is in the form \( \frac{A}{B}\) where \(A\) and \(B\) are positive integers, find \( A + B \).

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