The diagram shows the sector OAB of a circle of radius r cm. The area of the

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The diagram shows the sector OAB of a circle of radius r cm. The area of the sector is 15 cm² and ∠AOB = 1.5 radians.

a. Prove that r = 2√5.

b. Find, in cm, the perimeter of the sector OAB. The segment R, shaded in the diagram, is enclosed by the arc AB and the straight line AB.

c. Calculate, to 3 decimal places, the area of R.

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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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Question Posted: Aug 10, 2023 04:43 AM

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The diagram shows the sector OAB of a circle of radius r cm. The area of the

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Pearson Edexcel A Level Mathematics Pure Mathematics Year 2

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