Two circles C 1 and C 2 , both of radius 12 cm have centres O 1 and O 2 respectively O 1 lies on the circumference of C 2 O 2 lies on the circumference of C 1 The circles intersect at A and B, and enclose the region R a Show that AO 1 B 2 3 b Hence write down, in terms of , the perimeter of R c Fin...

a 0A 0A 12 as they are radii of their respective ...

Two circles C 1 and C 2 , both of radius 12 cm have centres O 1

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Two circles C₁ and C₂, both of radius 12 cm have centres O₁ and O₂ respectively. O₁ lies on the circumference of C₂; O₂ lies on the circumference of C₁. The circles intersect at A and B, and enclose the region R.

a. Show that ∠AO₁B = 2π/3.

b. Hence write down, in terms of π, the perimeter of R.

c. Find the area of R, giving your answer to 3 significant figures.

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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 09, 2023 03:34 PM

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Two circles C 1 and C 2 , both of radius 12 cm have centres O 1

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Pearson Edexcel A Level Mathematics Pure Mathematics Year 2

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