Starting from a circle of radius r, squares and circles are inscribed one inside the other and the process goes on.

If the total area of the circles and squares can be expressed as \( A \pi r^2 + B r^2 \), where \(A \) and \(B\) are rational numbers. Find \(A + B \).

If the total area of the circles and squares can be expressed as \( A \pi r^2 + B r^2 \), where \(A \) and \(B\) are rational numbers. Find \(A + B \).

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