Mathematics (AS & A Level) · Oct / Nov 2024 · Paper 12 · Question 6
9709
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O A r cm r cm 2r cm 2r cm θ θ 2 rad rad θ rad F B E C D The diagram shows a metal plate OABCDEF consisting of sectors of two circles, each with centre O. The radii of sectors AOB and EOF are r cm and the radius of sector COD is 2r cm. Angle AOB = angle EOF = i radians and angle COD = 2i radians. It is given that the perimeter of the plate is 14 cm and the area of the plate is cm 10 2. Given that r 2 3 2 and 4 3 1 i , find the values of r and i. [6]
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