Triangle ABC has AB = 9 cm, BC = 10 cm and CA = 5 cm. A

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Triangle ABC has AB = 9 cm, BC = 10 cm and CA = 5 cm. A circle, center A and radius 3 cm, intersects AB and AC at P and Q respectively, as shown in the diagram.

a. Show that, to 3 decimal places, ∠BAC = 1.504 radians.

b. Calculate:

i. The area, in cm2, of the sector APQ

ii. The area, in cm2, of the shaded region BPQC

iii. The perimeter, in cm, of the shaded region BPQC.

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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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