The diagram shows a running track. The track has a perimeter of 400m and consists of two
Question:
The diagram shows a running track. The track has a perimeter of 400m and consists of two straight sections of length lm and two semicircular sections of radius rm.
a. Show that the area, Am2, of the region enclosed by the track is given by A = 400r − πr2.
b. Express 400r − πr2 in the form
where a and b are constants.
Given that l and r can vary:
c. show that A has a maximum value when l = 0
d. find this stationary value of A.
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ANSWER a To find the area enclosed by the track we need to calculate the area of two semicircles and ...View the full answer
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Related Book For 
Cambridge International AS And A Level Mathematics Pure Mathematics 1 Coursebook
ISBN: 9781108407144
1st Edition
Authors: Sue Pemberton, Julian Gilbey
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