A piece of wire, of length 60 cm, is bent to form a sector of a circle
Question:
A piece of wire, of length 60 cm, is bent to form a sector of a circle with radius r cm and sector angle θ radians. The total area enclosed by the shape is A cm2.
a. Express θ in terms of r.
b. Show that A = 30r – r2.
c. Find dA/dr and d2A/dr2.
d. Find the value for r for which there is a stationary value of A.
e. Determine the magnitude and nature of this stationary value.
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a To find an expression for in terms of r we need to use the fact that the length of the wire is equ...View the full answer
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Related Book For 
Cambridge IGCSE And O Level Additional Mathematics Coursebook
ISBN: 9781108411660
2nd Edition
Authors: Sue Pemberton
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