The diagram shows a circle with centre A and radius r. Diameters CAD and BAE are perpendicular

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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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