A piece of wire, of length 40 cm, is bent to form a sector of a circle

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A piece of wire, of length 40 cm, is bent to form a sector of a circle with radius rcm and sector angle θ radians, as shown in the diagram. The total area enclosed by the shape is A cm².

a. Express θ in terms of r.

b. Show that A = 20r − r².

c. Find the value of r for which there is a stationary value of A.

d. Determine the magnitude and nature of this stationary value.

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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 10, 2023 11:28 PM

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A piece of wire, of length 40 cm, is bent to form a sector of a circle

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0 r

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a The length of the wire is equal to the circumference of the circle which is 2r ...View the full answer

Cambridge International AS And A Level Mathematics Pure Mathematics 1 Coursebook

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