Mixed assessment · Question 6
5 written marks
A sector has fixed perimeter \(24\) cm and satisfies \(0<\theta\le1\). No differentiation is to be used.
Part a · 2 marks
Express its area in terms of its radius \(r\), and give the feasible radius interval.
Part b · 3 marks
Find the greatest permitted area, its radius and its angle. Justify that the point you choose is allowed.
Complete-answer checking, worked solutions and indicative written criteria.
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