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Learning objective

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°.

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Cambridge IGCSE MathematicsCore Mensuration

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Quick explanation

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°

  • This point belongs to Circles, arcs and sectors, especially Circles, arcs and sectors outcomes.
  • You need to be able to 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°.
  • The key ideas to know are Calculate, Determine, and Show.
  • Use the linked flashcards and practice questions to check recall, then practise applying the idea in an exam-style answer.

Key concepts

CalculateDetermineShowWork out

Why it matters

This objective helps connect Circles, arcs and sectors outcomes to exam-style questions, flashcards, and revision notes for Circles, arcs and sectors.

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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]
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