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Fencing a curved path

Fencing a curved path

6 marks
TGM Original
A path is an annular sector of width 3 m, angle 2 radians and area 72 m2. Fence is needed on both arcs and both straight ends. Is 50 m of fencing enough? Justify your answer and state any shortage.

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Answer:No. \(54\text{ m}\) is needed, so the shortage is \(4\text{ m}\).

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