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Circle Theorems

Circle Theorems

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Genie and Baby Genie

Lesson

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8 minute activity

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Circle theorem questions are really about spotting structure in a diagram. Look for radii, chords, tangents, and shapes with all vertices on the circle.

The main angle facts come from three clues: equal radii, a tangent touching the circle, and angles standing on the same chord or arc. Start by marking these clues on the diagram before you calculate anything.

Questions

Put it into practice with exam-style questions

59 exam-style questions

Practice questions

Question 1

4 marks

Points PPP, Q Q\,Q and R R\,R lie on the circumference of a circle with centre OOO. SRT SRT\,SRT is a tangent to the circle at point RRR.

PQ=QRPQ = QRPQ=QR Angle QRT=54∘QRT = 54^\circQRT=54∘

Flashcards

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22 flashcards

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A [     ] is a straight line joining two points on the circumference.

Circle Theorems Revision Guide

  1. GCSE
  2. /Maths
  3. /Circle Theorems

Revision notes for WJEC GCSE Maths Circle Theorems: explanations and worked examples.

Practise questions

1 of 5

Points AAA, BBB and CCC lie on a circle. A tangent touches the circle at CCC. Given that angle ABC=64∘ABC=64^\circABC=64∘ and angle ACB=73∘ACB=73^\circACB=73∘, find the angle between the tangent and chord CBCBCB.