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Cambridge IGCSE Mathematics practice

exam practice - Perform calculations related to the circumference and area of a circle, with answers potentially expressed in terms of π. The necessary formulas are provided in the List of formulas. Additionally, calculate the arc length and sector area as fractions of the circle's circumference and area, given that the sector angle is a divisor of 360°. - Circles, arcs and sectors

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At a glance

2

Paper

4

Marks

Topic

Circles, arcs and sectors

Exam-style question

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Paper 2Core or Extended Mathematics4 marks

Sector of a Circle

Description

Sector with Radius 5 cm and Angle 60°

Find the arc length and sector area of a circle with a radius of 5 cm and a sector angle of 60°.

  1. a

    Calculate the arc length of the sector.

    Aim for approximately 2 distinct marking points.

    [2]
  2. b

    Calculate the area of the sector.

    Aim for approximately 2 distinct marking points.

    [2]

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Maths method check

  • Topic focus: Circles, arcs and sectors.
  • Question style: structured_mathematics.
  • Reasoning demand: reasoning.
  • Check the operation, notation, units, and final answer form against the question before moving on.

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Paper 2 structured question: Circles, arcs and sectors

Paper 2Core or Extended Mathematics4 marks

Description

Circle with Radius 4 cm

Calculate the circumference and area of a circle with a radius of 4 cm.

  1. a

    Calculate the circumference of the circle.

    Aim for approximately 2 distinct marking points.

    [2]
  2. b

    Calculate the area of the circle.

    Aim for approximately 2 distinct marking points.

    [2]