Circle Theorems Explained (with examples) - GCSE & IGCSE Maths

Learn how to solve circle theorem questions step by step in this tutorial designed for GCSE Maths students.

🌟 Apply for the Save My Exams scholarship program. We are giving away ten premium annual accounts to eligible students every single month, absolutely free. Apply for a free account and find out how it works here - https://www.savemyexams.com/scholarship/

▶ Learn more about circle theorems and get FREE resources and GCSE & IGCSE past papers here: https://www.savemyexams.com/gcse/maths/edexcel/22/higher/topic-questions/geometry-and-measures/circle-theorems/exam-questions/?utm_source=youtube&utm_medium=desc&utm_campaign=GCSE&utm_content=LpUa3fwXl0U

Circle Theorems can be difficult to work out or even understand - but fortunately we've got REAL worked examples and a step by step guide for you! We’ll break down key theorems like angles at the centre, angles in the same segment, alternate segment theorem, and more! Perfect for understanding the fundamentals and practicing exam-style questions.

What You Will Learn:
✅ The key circle theorems and how to use them.
✅ How to find angles in cyclic quadrilaterals.
✅ How to solve problems involving tangents and radii.

In this video you will learn the following circle theorems:
Angle at the Center Theorem
Angles in the Same Segment Theorem
Cyclic Quadrilateral Theorem
Alternate Segment Theorem (or Tangent-Chord Theorem)
Angle in a Semicircle Theorem
Isosceles Triangle (formed by two radii)
Tangent-Radius Theorem
Equal Tangents Theorem


Examples in This Video:

Using "angles at the centre" to find unknown angles.
Solving problems involving cyclic quadrilaterals.
Applying the alternate segment theorem to find missing angles.

After This Video You Will Be Able To:
✅ Apply circle theorems confidently in your exams.
✅ Solve challenging circle problems step by step.
✅ Give correct reasons for your answers to gain full marks.

Good luck on your 2025/2026 GCSE Maths exams! Let us know in the comments if you have any specific circle theorem questions you'd like us to cover.

Chapters:
0:00 Understanding Circle Theorems
1:59 Worked Example 1: Find the size of the angle
4:24 Worked Example 2: Write size of angle CAD
6:36 Worked Example 3: Find size of angle ACB


Join thousands of students excelling with our tailored revision resources. From detailed notes to past papers, we make exam preparation easy and stress-free. With FREE and paid plans: https://www.savemyexams.com/

🌟 Videos to watch next::
▶ Watch more FREE GCSE & IGCSE maths resources: https://www.youtube.com/playlist?list=PL0XFEXc1GUEok25S27h9I9EOLytETC_35

🔗 Essential Resources:
GCSE: https://www.savemyexams.com/gcse/
IGCSE: https://www.savemyexams.com/igcse/
A-Level: https://www.savemyexams.com/a-level/
IB: https://www.savemyexams.com/dp/

Subscribe for more FREE revision resources: https://www.youtube.com/channel/UCeUFexWB7xDcw91NzqO--bQ/
🔔 Stay ahead in your studies: Like, Subscribe, and Ring the Bell for the latest exam prep videos.

📱 Connect with Us:
▶ TikTok: https://www.tiktok.com/@savemyexams
▶ X/Twitter: https://www.twitter.com/SaveMyExams/
▶ Instagram: https://www.instagram.com/savemyexams/
▶ Facebook: https://www.facebook.com/SaveMyExamsUK/

ABOUT SAVE MY EXAMS:
Save My Exams helps you study effectively and get higher grades than you thought possible. Sign up to unlock full resources all for the cost of ONE cup of coffee per month!* Get affordable revision resources for GCSE, IGCSE, A Level and IB students Here: https://www.savemyexams.com/

#SaveMyExams #GCSESuccess #IGCSEPrep #ALevelAchievement