ECZ 2021 · GCE Paper 1 — Mensuration
The diagram shows a sector XOY. The arc XY subtends an angle of θ at the centre O and the radius of the sector is 6cm. Given that the area of the sector is 33cm², find the value of θ. [π = 227]
- A. 210°
- B. 60°
- C. 95°
- D. 105°
Verified working — step 1
Area of a sector = (θ/360) × πr². So 33 = (θ/360) × (227) × 36. The right side is θ × 7922520, so θ = 33 × 2520 ÷ 792 = …The full step-by-step working and final answer are included with Premium — checked against ECZ marking standards.
Original examination question © Examinations Council of Zambia. Worked solution and commentary © G12 Titan — not to be reproduced without permission.
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