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Summary

circle theorem, worked guided examples with summary notes

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This document begins with a summary of all the essential circle theorems, followed by a selection of worked and guided examples to support understanding.

Institution
Course
Mathematics

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Circle theorems

There are 7 circle theorems that we need to consider.




Angles at centre are twice angles at circumference




Angles in the same segment




Angles at centre are twice angles at circumference




Opposite angles in a cyclic quad add up to 180 degrees




Radius to a
tangent




1

, Two angles
from an




The
Alternate
The exterior
angle
between the




2
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Institution
Secondary school
Mathematics
School year
5
All documents for this subject (3488)

Document information

Uploaded on
April 29, 2026
Number of pages
7
Written in
2025/2026
Type
SUMMARY

Subjects

  • circle
  • theorems
  • angles
  • circumference
  • practice
  • properties
  • circles
  • cyclic quad
  • summary
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