4PM1/01R Jun 2019, Question 1: Radians, Arcs and Sectors
Pearson Edexcel International GCSE Further Pure Mathematics 4PM1 · Paper 1R · Calculator · 3 marks
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The question, in short
Sector AOB has centre O, radius r cm, angle 1.5 radians and arc AB 12 cm. Find r and the sector area.
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Part (a) · 1 mark
Use the arc length 12 cm and angle 1.5 radians to find the radius r.
- 1l = rθ: 12 = 1.5r
- 2r = 8
Answerr = 8
Part (b) · 2 marks
Using your value of r, calculate the area of sector AOB.
- 1A = ½r²θ
- 2= ½ × 8² × 1.5 = 48 cm²
Answer48 cm²
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