A piece of wire of length 24 cm is bent to form the perimeter of a sector of a circle of radius r cm i Show that the area of the sector, Acm 2 , is given by A 12r r 2 ii Express A in the form a (r b) 2 , where a and b are constants iii Given that r can vary, state the greatest value of A and find t...

i The perimeter of the sector is the length of the arc plus the lengths of the two radii which is gi ...

A piece of wire of length 24 cm is bent to form the perimeter of a sector

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A piece of wire of length 24 cm is bent to form the perimeter of a sector of a circle of radius r cm.
i. Show that the area of the sector, Acm² , is given by A = 12r − r².

ii. Express A in the form a − (r − b)², where a and b are constants.

iii. Given that r can vary, state the greatest value of A and find the corresponding angle of the sector.

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Cambridge International AS And A Level Mathematics Pure Mathematics 1 Coursebook

ISBN: 9781108407144

1st Edition

Authors: Sue Pemberton, Julian Gilbey

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Question Posted: Mar 09, 2023 07:05 AM

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A piece of wire of length 24 cm is bent to form the perimeter of a sector

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Cambridge International AS And A Level Mathematics Pure Mathematics 1 Coursebook

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