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JSCE Mathematics 2023 Theory — Question 10

Question 10 of 17 from the Junior Secondary Certificate Examination (JSCE) Mathematics 2023 Theory paper, with the correct answer and a full explanation.

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(b) POQ is a sector of a circle with angle 60° at the centre. If the sector has an area of 70cm². Find the radius of the circle to 2 d.p. (Take π = 3.142)

Model answer

Area of sector = (θ/360) x πr² 70 = (60/360) x 3.142 x r² r² = 70 x 6 / 3.142 = 420 / 3.142 = 133.67 r = 11.56 cm (2 d.p.).

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