Mathematics (AS & A Level) · Oct / Nov 2024 · Paper 11 · Question 3
9709
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15 cm 15 cm B A O C D The diagram shows a sector of a circle, centre O, where cm OB OC 15 = = . The size of angle BOC is r 5 2 radians. Points A and D on the lines OB and OC respectively are joined by an arc AD of a circle with centre O. The shaded region is bounded by the arcs AD and BC and by the straight lines AB and DC. It is given that the area of the shaded region is rcm 5 2 209 . Find the perimeter of the shaded region. Give your answer in terms of r. [5]
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