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Zetta Paper 1 · Q14

Paper 1TrigonometryGeometryFunctions & graphs

The graph of tan⁡(x2+y2)=1\tan(x^2+y^2)=1 is shown below (angles in radians). The graph consists of a central circle surrounded by infinitely many annuluses or rings. The central circle has area CC and each annulus has the same constant area AA. What is AC\dfrac AC? [An annulus is the region between two concentric circles (like a ring)] Diagram for question 14

A44
B12\frac12
Cπ2\pi^2
D34π\frac3{4\pi}
Eπ2+14π\frac{\pi^2+1}{4\pi}
F1π\frac1\pi

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