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0580/13 Oct/Nov 2023, Question 20: Arc Length

Cambridge IGCSE Mathematics 0580 · Paper 13 (Core) · Calculator · 2 marks

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The question, in short

A sector has radius r cm and angle 72°, with arc length 9.35 cm. Calculate the value of r.

Summarised in our own words. Use the official paper for the exact wording and any diagrams.

Solution · 2 marks

  1. 1Arc length = 72/360 × 2 × π × r = 9.35
  2. 2r = 9.35 × 360 ÷ (72 × 2π)
  3. 3r = 7.440… ≈ 7.44

Answer7.44 or 7.439 to 7.440…

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Also searched as: 0580/13/O/N/23 · 0580_w23_qp_13 · 0580 w23 13 · question 20.
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