A track with a fixed lap length

A track with a fixed lap length

6 marks
TGM Original
A running track consists of two equal straight sections joined by two semicircular ends of radius 10 m. The inner boundary has total length 200 m. Find the length of each straight section and the area enclosed by the inner boundary, giving exact answers.

Solution:

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Answer:Each straight section \((100-10\pi)\text{ m}\); enclosed area \((2000-100\pi)\text{ m}^2\).

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