The diagram shows a sporting track made up of a rectangle with semicircles at each end. The

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The diagram shows a sporting track made up of a rectangle with semicircles at each end.

The rectangle has dimensions p meters by 2r meters where r is the radius of each semicircle. The perimeter of the track is 1400 m. The track has a maximum area for this perimeter. Find the value of p and the value of r.

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Complete Pure Mathematics 1 For Cambridge International AS & A Level

ISBN: 9780198427438

2nd Edition

Authors: Jean Linsky, Brian Western, James Nicholson

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Question Posted: Apr 14, 2023 11:19 AM

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The diagram shows a sporting track made up of a rectangle with semicircles at each end. The

Question:

rmetres rmetres p metres

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Finding an expression for the perimeter of the track in terms of p and r The perimeter consists of t...View the full answer

Complete Pure Mathematics 1 For Cambridge International AS & A Level

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