4PM1/02R Jan 2020, Question 1: Radians, Arcs and Sectors
Pearson Edexcel International GCSE Further Pure Mathematics 4PM1 · Paper 2R · Calculator · 3 marks
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The question, in short
For a sector with radius 13 cm and angle 2 radians, find the arc length and the sector area.
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Part (a) · 1 mark
Calculate the length of arc AB using radius 13 cm and angle 2 radians.
- 1Arc length = rθ = 13 × 2 = 26 cm
Answer26 cm
Part (b) · 2 marks
Calculate the area of sector AOB using radius 13 cm and angle 2 radians.
- 1Area = ½r²θ
- 2= ½ × 13² × 2 = 169 cm²
Answer169 cm²
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