ECZ 2025 · GCE Paper 1 — Mensuration
The diagram shows a sector POQ. Arc PQ subtends an angle of 45° at the centre. Given that the area of POQ is 77 cm2, calculate the radius of the sector. [π = 227]
- A. 7 cm
- B. 196 cm
- C. 14 cm
- D. 28 cm
Verified working — step 1
A sector with a 45° centre angle is 45360 = 18 of the full circle, so its area is that fraction of πr2. Substitute and solve for r.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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