plumiRadians, arcs and sectors: OCR MEI A‑Level Maths questions
OCR MEI A-Level Maths past-paper questions on 5.2 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 8 questions on Radians, arcs and sectors, as a list
- June 2025, Paper 1, Q4 (4 marks): The diagram shows part of a circle with centre O and radius 5 cm. The circle passes through the points A and B. The length AB is 5 cm. O A B 5cm [4] Calculate t
- June 2023, Paper 3, Q7 (6 marks): A wire, 10 cm long, is bent to form the perimeter of a sector of a circle, as shown in the diagram. The radius is r cm and the angle at the centre is i radians.
- June 2022, Paper 3, Q11 (3 marks): ( 180 ) - i i 11 Show that, for the angle 45°, the formula sin given in line 28 gives the i . 40500 ( 180 ) - - i i 16 x ( x ) r - same approximation for the si
- November 2021, Paper 2, Q2 (3 marks): (a) Write 65° in radians, giving your answer in the form kr, where k is a fraction in its lowest terms. [2] (b) Write 0.211 radians in degrees, giving your answ
- November 2020, Paper 2, Q2 (3 marks): Fig. 2 shows a sector of a circle of radius 8 cm. The angle of the sector is 2.1 radians. 8 cm 2.1 L radians Fig. 2 (a) Calculate the length of the arc L. [1] (
- June 2019, Paper 1, Q14 (8 marks): Fig. 14 shows a circle with centre O and radius r cm. The chord AB is such that angle AOB x radians . The area of the shaded segment formed by AB is 5% of the a
- June 2019, Paper 2, Q7 (5 marks): 288cm2. The angle of the sector is i radians and the radius of 7 The area of a sector of a circle is . the circle is r cm. (a) Find an expression for i in terms
- June 2018, Paper 1, Q12 (14 marks): 2 12 Fig. 12 shows the circle ( x 1 ) ( y 1 ) 25 , the line y 4 3 x 32 and the tangent to the circle at the - + + = = - point A (5, 2). D is the point of inters
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