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OpenStudy (maths99):
The diagram shows a metal plate OABCDEF consisting of 3 sectors, each with centre O. The radius of sector COD is 2r and angle COD is θ radians. The radius of each of the sectors BOA and FOE is r, and AOED and CBOF are straight lines. (i) Show that the area of the metal plate is r^2(π+θ) [3] (ii) Show that the perimeter of the metal plate is independent of ϴ. [4]
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OpenStudy (maths99):
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