plumiRadians, arcs and sectors: OCR A‑Level Maths questions
OCR A-Level Maths past-paper questions on 1.05.2 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 5 questions on Radians, arcs and sectors, as a list
- June 2025, Paper 1, Q6 (8 marks): B NOT TO SCALE 6cm A C D The diagram shows a triangle ABC. The arc BD is part of a circle with centre A and radius 6 cm. 2. The area of the sector ABD is 14 4 .
- June 2025, Paper 3, Q6 (12 marks): The compound angle formulae for sin A ( B ) and sin A ( B ) are + - sin ( A B ) sin A cos B cos A sin B and + = + sin ( A B ) sin A cos B cos A sin B . - = - (a
- June 2024, Paper 3, Q2 (5 marks): In this question you must show detailed reasoning. A O 2rad (3x + 1) cm B The diagram shows a sector AOB of a circle with centre O and radius ( x . The angle AO
- June 2022, Paper 1, Q10 (12 marks): B irad O A M The diagram shows a sector OAB of a circle with centre O and radius OA. The angle AOB is i radians. M is the mid-point of OA. The ratio of areas OM
- June 2019, Paper 1, Q10 (11 marks): A i rad O 6cm B The diagram shows a sector AOB of a circle with centre O and radius 6 cm. The angle AOB is i radians. The area of the segment bounded by the cho
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