The diagram shows a sector OAB of a circle with centre O and radius r cm. The

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The diagram shows a sector OAB of a circle with centre O and radius r cm. The angle AOB is θ radians and the perimeter of the sector is 30 cm. 


a) Show that θ = 30/r − 2. 


b) Find the area of the sector in terms of r.


c) Find the maximum possible area of the sector.


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