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0606 P12 - Mar 2019 - Q9 - 7 marks
8238

A sector of a circle has radius \(r\) cm and area \(36\text{ cm}^2\). The perimeter of the sector is \(P\) cm.

(i) Show that \(P=2r+\dfrac{72}{r}\).

(ii) Find the stationary value of \(P\), and determine whether it is a maximum or a minimum.

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