CAIE IGCSE Mathematics Core C5.3 Circles, arcs & sectors Question Bank

Practise circle, semicircle, arc and sector calculations using radius, diameter, angle and exact or rounded answers as required.

Syllabus
2028–2030
Topic
C5.3
Level
Core

Exam points

  • calculate circle area or circumference from radius or diameter, including reverse problems
  • find semicircle and combined-arc perimeters, keeping exact answers in terms of π when asked
  • use sector angle fractions to calculate arc length or sector area from a diagram

Covered syllabus points

C5.3.1 Carry out calculations involving the circumference and area of a circle.C5.3.2 Carry out calculations involving arc length and sector area as

C5.3 Circles, arcs and sectors question 1

[Maximum number: 2]

The diagram shows a circle, centre O, radius 11 cm. C, F, G and H are points on the circumference of the circle.
The line AD touches the circle at C and is parallel to the line EG. B is a point on AD and angle ABO=140∘A B O=140^{\circ}.

Question (a)

(a)

Find, in terms of π\pi, the circumference of the circle.

___ cm

[ 2 ]

Question (b)

(b)

Calculate the length of the minor arc FH.

___ cm

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