The diagram shows a sector OAB of a circle with centre O and radius r cm The angle AOB is radians and the perimeter of the sector is 30 cm a) Show that 30 r 2 b) Find the area of the sector in terms of r c) Find the maximum possible area of the sector rcm A B...

a The perimeter of the sector is given by the sum of the length of the arc AB and the lengths of the ...

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

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The diagram shows a sector OAB of a circle with centre O and radius r cm. The angle AOB is θ radians and the perimeter of the sector is 30 cm.

a) Show that θ = 30/r − 2.

b) Find the area of the sector in terms of r.

c) Find the maximum possible area of the sector.

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Complete Pure Mathematics 1 For Cambridge International AS & A Level

ISBN: 9780198427438

2nd Edition

Authors: Jean Linsky, Brian Western, James Nicholson

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Question Posted: Apr 14, 2023 11:28 AM

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

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rcm Ө A B

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Complete Pure Mathematics 1 For Cambridge International AS & A Level

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