9709 P11 - Nov 2015 - Q7 - 7 marks
241
The diagram shows a circle with centre A and radius r. Diameters CAD and BAE are perpendicular to each other. A larger circle has centre B and passes through C and D.
(i) Show that the radius of the larger circle is r√2.
(ii) Find the area of the shaded region in terms of r.
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