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ZIMSEC O-Level Mathematics

8.7Circle properties

Circle properties in ZIMSEC O-Level Mathematics: what the syllabus expects you to know, the learning objectives and how to practise.
Subtopic40 practice questions2 lessons

Learning objectives

What the syllabus expects you to be able to do.

  1. 8.7.1Use the properties of radii, diameters, chords and tangents of a circle.
  2. 8.7.2Use the circle theorems on the angle at the centre, the angle in a semicircle, angles in the same segment, cyclic quadrilaterals and the alternate segment to calculate angles, giving reasons.

Lessons

  • Angle properties of circles

    20 min

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  • 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 properties: 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.

Turn Circle properties into a strength.

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