MA27-09 Maths Coming soon
Circle theorems: chords and the centre
MA27-09
This lesson is coming soon.
In this lesson
Prove and use that the perpendicular from the centre of a circle to a chord bisects the chord (and its converse), and that equal chords are equidistant from the centre.
What it covers
- The perpendicular from the centre to a chord bisects the chord
- The converse: a radius/diameter that bisects a chord is perpendicular to it
- Equal chords of a circle are equidistant from the centre
Key words
For: OCR GCSE J560, AQA GCSE 8300, Edexcel GCSE 1MA1, Eduqas GCSE C300, Cambridge IGCSE 0580, Edexcel IGCSE 4MA1
On the specification
| Board | Spec | Statement |
|---|---|---|
| OCR GCSE J560 | 8.05e | Apply and prove: a radius or diameter bisects a chord if and only if it is perpendicular to the chord. |
| AQA GCSE 8300 | G10 | Apply and prove the standard circle theorems concerning angles, radii, tangents and chords, and use them to prove related results |
| Edexcel GCSE 1MA1 | G10 | Apply and prove the standard circle theorems concerning angles, radii, tangents and chords, and use them to prove related results |
| Eduqas GCSE C300 | HG10 | Apply and prove the standard circle theorems concerning angles, radii, tangents and chords, and use them to prove related results |
| Cambridge IGCSE 0580 | E4.8 | Circle theorems II |
| Edexcel IGCSE 4MA1 | F4.6B | Understand chord and tangent properties of circles |
For teachers
This GCSE Maths lesson teaches circle theorems: chords and the centre. By the end, students should be able to prove and use that the perpendicular from the centre of a circle to a chord bisects the chord (and its converse), and that equal chords are equidistant from the centre. It works through two worked examples and the mistakes examiners report.