The diagram shows a circle centre O and radius 6 cm The chord PQ divides the circle into a minor segment R 1 of area A 1 cm 2 and a major segment R 2 of area A 2 cm 2 The chord PQ subtends an angle radians at O a Show that A 1 18( sin ) Given that A 2 3A 1 , b show that sin 2 R P 0 R 6cm...

a A x 6 x0 6 x sin 0 1800 sin 0 b ...

The diagram shows a circle centre O and radius 6 cm. The chord PQ divides the circle

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The diagram shows a circle centre O and radius 6 cm. The chord PQ divides the circle into a minor segment R₁ of area A₁ cm² and a major segment R₂ of area A₂ cm². The chord PQ subtends an angle θ radians at O.

a. Show that A₁ = 18(θ − sin θ). Given that A₂ = 3A₁,

b. show that sin θ = θ - π/2.

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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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The diagram shows a circle centre O and radius 6 cm. The chord PQ divides the circle

Question:

R₁ P 0% R₂ 6cm

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a A x 6 x0 6 x sin 0 1800 sin 0 b ...View the full answer

Pearson Edexcel A Level Mathematics Pure Mathematics Year 2

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