Circle Properties 4 | Angle in a Semicircle is Right Angle | 2nd angle property OLevel/IGCSE

📘 Welcome to the next lesson in our Circle Properties series for O Level and IGCSE Mathematics.

In this video, we discuss an important circle theorem known as the second angle property: the angle in a semicircle is always a right angle. This property is explained clearly using diagrams to help you visualize why the angle formed at the circumference is 90 degrees.

We begin by stating and understanding the theorem, then use diagrams to explain the reasoning behind it. After that, we solve several worked examples to show how this property is applied in typical exam-style questions. We also discuss practice questions related to this theorem to strengthen understanding and accuracy.

In this lesson you will learn:
The statement and meaning of the angle in a semicircle theorem
How diagrams help explain why the angle is always a right angle
How to apply this property to find unknown angles
Step-by-step solutions to example questions
How this theorem appears in O Level and IGCSE examinations

By the end of this video, you will be able to confidently use the angle in a semicircle property to solve circle geometry questions.

What’s coming next:
In the upcoming videos, we will continue exploring more angle properties of circles and apply them to textbook and exam-style questions.

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Like, comment, and share if this lesson helped you understand circle theorems.

I hope you enjoy the lesson and learn something valuable. Feel free to ask your questions in the comments.

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