plumiAreas in polar coordinates: AQA A‑Level Further Maths questions
AQA A-Level Further Maths past-paper questions on G.2 Areas in polar coordinates, 2019–2025, with mark schemes and examiner’s reports where available. Add MadAsMaths questions to your practice, or browse them separately by topic and difficulty.
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All 6 questions on Areas in polar coordinates, as a list
- June 2025, Paper 2, Q14 (8 marks): A children’s play area in a park contains a paddling pool. The outline of the paddling pool is modelled by the polar curve ( ) = + 6 2cos 2 r θ where r is measu
- June 2025, AS Paper 1, Q15 (11 marks): The graph G1 has the polar equation r = 8 cos θ + √ 3 sin θ – π 6 < θ < 5π 6 The graph G2 has the polar equation θ = 2π 3 15 (a) Show that G1 is a straight line
- June 2024, Paper 1, Q16 (9 marks): The curve C has polar equation r = 2 + tan θ The curve C meets the line θ = π 4 at the point A The point B has polar coordinates (4, 0) The diagram shows part o
- June 2022, Paper 1, Q9 (14 marks): Roberto is solving this mathematics problem: The curve C1 has polar equation r2 = 9 sin 2y for all possible values of y Find the area enclosed by C1 Roberto’s s
- November 2021, Paper 2, Q9 (14 marks): (a) The line L has polar equation r = 7 4 sec y − p 2 < y < p 2 Show that L is perpendicular to the initial line. [2 marks] 9 (b) The curve C has polar equation
- November 2020, Paper 2, Q14 (11 marks): The diagram shows the polar curve C1 with equation r = 2 siny The diagram also shows part of the polar curve C2 with equation r = 1 + cos 2y Initial line 2 O 14
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