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Circle Theorems Mind Map for GCSE Revision

See how the main circle theorems connect, from angles to tangents. Then generate your own map from your textbook notes or a PDF.

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CogniGuide at a glance

What you get
Interactive mind maps of the main ideas and how they connect. Free: overview maps (detailed maps on your first 3 creations). Plus: detailed maps with supporting concepts.
Exports
Your first PDF or PNG export is free; Plus exports anytime.
Price
Free plan: 5 creations a week, up to 3 a day. Plus: $9.99/month or $99.90/year (USD; local prices at checkout).
Sign-up
A free account is required before you create anything (Google or email). No credit card.
What you can upload
PDF, Word (.docx), PowerPoint (.pptx), plain text or Markdown, and images (PNG, JPG, WebP, GIF), or type a topic. One file per creation on the free plan; several at once on Plus.

How it compares: vs Knowt · vs Quizlet · vs NotebookLM · vs Mapify

Build Your Circle Theorems Map

Turn your own revision notes or worksheets into a clear, branching map of circle theorems.

Built From Your Own Material

Upload a PDF, Word file or slides on circle theorems and the AI extracts the key results.

Organized by Theorem Type

Branches group angle, chord and tangent theorems so related rules sit together.

Quiz and Flashcards

Turn the map into a quiz or flashcards to test yourself on each theorem.

How to Make a Circle Theorems Mind Map

Three steps from your notes to a map you can study and expand.

  1. 1

    Add your notes

    Upload a PDF or document on circle theorems, or type the topic into the box.

  2. 2

    AI builds the map

    The AI groups theorems into branches such as angles, cyclic quadrilaterals and tangents.

  3. 3

    Study, expand and quiz

    Expand any node for more detail, edit the text, then test yourself with a quiz.

Understanding the Circle Theorems Mind Map

A circle theorems mind map sets out the main rules for angles, chords, tangents and cyclic quadrilaterals in one diagram. Each rule links to the others, so you can see how a result such as the angle at the centre leads to the angle at the circumference. Mapping them this way helps you pick the right theorem for a question.

  • Angles at the centre: the angle at the centre is twice the angle at the circumference.
  • Angles in a semicircle: an angle in a semicircle is always a right angle.
  • Cyclic quadrilaterals: opposite angles in a cyclic quadrilateral add up to 180 degrees.
  • Tangents: a tangent meets a radius at 90 degrees at the point of contact.

Use the map to revise by covering branches and recalling each theorem. Generate your own version from your notes with CogniGuide to match your exam board's wording.

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Circle Theorems Mind Map Questions

Common questions about circle theorems and building a map of them.

How many circle theorems do I need to learn?

Most GCSE and A-level courses cover around seven to ten core circle theorems. They include angles at the centre, angles in a semicircle, cyclic quadrilaterals, alternate segment and tangent properties.

What is the alternate segment theorem?

The alternate segment theorem says the angle between a tangent and a chord equals the angle in the alternate segment. It is often tested alongside tangent and chord questions.

Which files can I use to make my own circle theorems map?

You can upload a PDF, Word (DOCX) or PowerPoint (PPTX) file, a text or Markdown file, or an image of your notes. You can also type the topic directly.

Is it free to make a circle theorems mind map?

Yes. The free plan allows 5 creations a week with no payment needed. You can also turn the finished map into a quiz to test yourself.