A-LevelMathematicsCircular measureOct/Nov 2024Paper 1 Q66 Marks
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 = θ radians and angle COD = 2θ radians. It is given that the perimeter of the plate is 14 cm and the area of the plate is 10 cm². Given that r > 3/2 and θ < 3/4, find the values of r and θ. [Figure X.X]
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