WMC 2018 Pursuit - Pack 1, C3
A unit circle is drawn tangent to the axes in the first quadrant. A second circle is drawn in the gap between the unit circle and the axes, as large as possible. A third circle is drawn in the same way, and so on, to infinity. What is the total area of all the circles?
The answer can be expressed as . Find .
The answer is 17.
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