In the diagram, AD and BC are arcs of circles with centre O, such that OA =

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In the diagram, AD and BC are arcs of circles with centre O, such that OA = OD = r cm, AB = DC = 8 cm and ∠BOC = θ radians.

a. Given that the area of the shaded region is 48 cm2, show that r = 6/θ - 4.

b. Given also that r = 10θ, calculate the perimeter of the shaded region.

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Pearson Edexcel A Level Mathematics Pure Mathematics Year 2

ISBN: 9781292183404

1st Edition

Authors: Greg Attwood, Jack Barraclough, Ian Bettison, David Goldberg, Alistair Macpherson, Joe Petran

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