0580/22 May/Jun 2023, Question 11: Area of a Sector
Cambridge IGCSE Mathematics 0580 · Paper 22 (Extended) · Calculator · 3 marks
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The question, in short
Using two sectors with centre O and angle 140°, OC = 3.2 cm and CB = 2.6 cm, find k where the shaded shape ABCD has area kπ cm².
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Solution · 3 marks
- 1OB = 3.2 + 2.6 = 5.8 cm
- 2Area = 140/360 × π × 5.8² − 140/360 × π × 3.2²
- 3= 7/18 × π × (33.64 − 10.24)
- 4= 7/18 × 23.4 × π = 9.1π
- 5k = 9.1
Answer9.1
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Also searched as: 0580/22/M/J/23 · 0580_s23_qp_22 · 0580 s23 22 · question 11.
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