ECZ 2018 · GCE Paper 1 — Mensuration

A sector AOB of a circle with centre O has radius 7 cm. The area of the sector is 25⅔ cm². Taking π = 227, calculate AÔB.

Diagram for ECZ 2018 · GCE Paper 1
  • A. 30°
  • B. 120°
  • C. 60°
  • D. 45°

Verified working — step 1

Area = (θ/360) × πr². With r = 7 and π = 227: πr² = (227) × 49 = 154. So (θ/360) × 154 = 773(since 25⅔ = 773). Then θ = 77 × 3603 × 154= …

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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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