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9709 P12 - Jun 2024 - Q8 - 10 marks
10108
Symmetrical plate made from trapezium and two sectors of angle π/3

A, B, C and D lie on a straight line and BC=2 cm. The sectors ABF and DCE each have radius r cm and angle π/3 radians.

(a)(i) For r=0.4, show that EF=2.4 cm. [2]

(a)(ii) For r=0.4, find the plate area to 3 significant figures. [4]

(b) Instead, the perimeter is 6 cm. Find r to 3 significant figures. [4]

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