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


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