9709 P11 - Nov 2016 - Q3
234
In the diagram, OCA and ODB are radii of a circle with centre O and radius 2r cm. Angle AOB = α radians. CD and AB are arcs of circles with centre O and radii r cm and 2r cm respectively. The perimeter of the shaded region ABDC is 4.4r cm.
(i) Find the value of α.
(ii) It is given that the area of the shaded region is 30 cm². Find the value of r.
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