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
A sector with centre angle θ is θ/360 of the full circle, so its AREA is that fraction of πr2 - and it is the area formula this question needs, because an area is what is given.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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