ECZ 2019 · GCE Paper 1 — Mensuration

The diagram shows a sector of a circle with centre O and radius 4.2 cm. Angle AOB = θ. Given that the area of the sector AOB is 9.24 cm², find the value of θ. [π = 227]

Diagram for ECZ 2019 · GCE Paper 1
  • A. 30°
  • B. 120°
  • C. 60°
  • D. 45°

Verified working — step 1

Area = (θ/360) × πr² = (θ/360) × (227) × 4.2² = (θ/360) × 55.44. Setting this equal to 9.24: θ/360 = 9.2455.44= 16, so θ = …

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Original examination question © Examinations Council of Zambia. Worked solution and commentary © G12 Titan — not to be reproduced without permission.

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