plumiRadians, arcs and sectors: AQA A‑Level Maths questions
AQA A-Level Maths past-paper questions on E.2 Radians, arcs and sectors, 2018–2025, 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 10 questions on Radians, arcs and sectors, as a list
- June 2025, Paper 2, Q5 (2 marks): The diagram shows a sector AOB of a circle with centre O and radius 8 cm. B A O 8 cm 1.4 The angle AOB is 1.4 radians. Find the area of the sector. [2 marks]
- June 2025, Paper 2, Q9 (9 marks): A circle with centre C has equation (x – 12)2 + (y – 2)2 = 100 The graph with equation y = │3x – 36│ – 8 intersects the circle at the points A, B and D as shown
- June 2024, Paper 3, Q5 (3 marks): The diagram below shows a sector of a circle OAB. The chord AB divides the sector into a triangle and a shaded segment. Angle AOB is π 6 radians. The radius of
- June 2023, Paper 3, Q7 (14 marks): A new design for a company logo is to be made from two sectors of a circle, ORP and OQS, and a rhombus OSTR, as shown in the diagram below. θ O P R S T Q The po
- June 2022, Paper 1, Q10 (12 marks): The diagram shows a sector of a circle OAB. O θ C A B The point C lies on OB such that AC is perpendicular to OB. Angle AOB is y radians. 10 (a) Given the area
- November 2021, Paper 3, Q5 (13 marks): A gardener is creating flowerbeds in the shape of sectors of circles. The gardener uses an edging strip around the perimeter of each of the flowerbeds. The cost
- November 2020, Paper 1, Q3 (1 mark): The diagram shows a sector OAB of a circle with centre O and radius 2 B 2 A O θ The angle AOB is y radians and the perimeter of the sector is 6 Find the value o
- June 2019, Paper 1, Q3 (1 mark): The diagram below shows a sector of a circle. θ The radius of the circle is 4 cm and y = 0:8 radians. Find the area of the sector. Circle your answer. [1 mark]
- June 2019, Paper 3, Q5 (5 marks): A circle has equation x2 + y2 − 6x − 8y = 264 AB is a chord of the circle. The angle at the centre of the circle, subtended by AB, is 0.9 radians, as shown in t
- June 2018, Paper 1, Q8 (8 marks): The diagram shows a sector of a circle OAB. C is the midpoint of OB. Angle AOB is y radians. C O θ B A 8 (a) Given that the area of the triangle OAC is equal to
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