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Cambridge IGCSE Mathematics

4.8Circle theorems II

Circle theorems II in Cambridge IGCSE Mathematics: what the syllabus expects you to know, the learning objectives and how to practise.
Subtopic20 practice questions1 lesson

Learning objectives

What the syllabus expects you to be able to do.

  1. 4.8.1Extended: use the symmetry properties of circles: equal chords are the same distance from the centre, the perpendicular bisector of a chord passes through the centre, and the two tangents from an external point are equal in length.

Lessons

  • Symmetry properties of chords and tangents

    20 min

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Sample question

A sample question on this topic. Answer it, check it, then read the worked answer.

Circle theorems II: sample question

1 mark

A circle has radius 5 cm. A chord is 3 cm from the centre. Find the length of the chord.

Answer in cm.

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