0580/21 Oct/Nov 2022, Question 15: Arc Length
Cambridge IGCSE Mathematics 0580 · Paper 21 (Extended) · Calculator · 3 marks
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The question, in short
A sector with radius 8 cm has perimeter 26 cm; work out the sector's angle.
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Solution · 3 marks
- 1Arc length = 26 − 8 − 8 = 10 cm
- 2angle/360 × 2π × 8 = 10
- 3angle = 10 × 360 ÷ (16π)
- 4= 71.6°
Answer71.6 or 71.61 to 71.62
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