The diagram shows a sector OAB of a circle, centre O and radius r cm. The length

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The diagram shows a sector OAB of a circle, centre O and radius r cm. The length of the arc AB is p cm and ∠AOB is θ radians.

a. Find θ in terms of p and r.

b. Deduce that the area of the sector is 1/2 prcm2.

Given that r = 4.7 and p = 5.3, where each has been measured to 1 decimal place, find, giving your answer to 3 decimal places:

c. The least possible value of the area of the sector.

d. The range of possible values of θ.

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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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