A circle has radius 7 cm. What is its circumference in terms of pi?
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Practise IGCSE 0580 questions in the style of recent Extended past papers, organised by syllabus subtopic. Each set comes with an examiner-style mark scheme and a downloadable worksheet.
Everything students ask about Cambridge IGCSE 0580 Circles, arcs and sectors Topical Past Papers.
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These Circles, arcs and sectors Topical Past Paper Questions are written in the style of recent Cambridge IGCSE Mathematics 0580 Extended papers and grouped by the Mensuration (E5.3) section of the 2025–2027 syllabus. Use them to revise the exact skills examiners test in this part of the course.
Each question is graded Easy → Medium → Hard, plus an A★ Challenge for top-grade preparation. Tap a question to mark your own answer, then unlock the examiner-style mark scheme with model solutions and examiner tips. A printable Topical Past Papers worksheet is included so you can practise offline.
Find the circumference and area of circles; at Extended, find the length of an arc and area of a sector using fractions of the full circle.
A circle has radius 7 cm. What is its circumference in terms of pi?
Find the area of a circle with radius 5 cm. Give your answer in terms of pi.
[1 mark]The circumference of a circle is 31.4 cm. Find its diameter, using pi = 3.14.
[2 marks]A sector has angle 60° at the centre and radius 9 cm. Find the arc length, in terms of pi.
[2 marks]Which formula gives the area of a sector of a circle (where θ is the angle at the centre in degrees)?
A sector of a circle has radius 12 cm and central angle 75°.
Find the arc length of the sector. Give your answer in terms of pi.
[1 mark]Find the area of the sector. Give your answer in terms of pi.
[2 marks]A sector has arc length 8 pi cm and radius 16 cm. Find the central angle of the sector, in degrees.
[2 marks]A circle has radius 10 cm. Find the area, correct to 3 significant figures, of the segment cut off by a chord that subtends a 60° angle at the centre. (Segment area = sector area − triangle area; for the isosceles triangle here, use ½ × 10 × 10 × sin 60°.)
[2 marks]