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Circle Theorems

Here we have a collection of videos to help GCSE Maths students learn the circle theorems.

Circle Theorem 1 (with proofs)
The angle in a semi-circle is always 90 degrees.
Angles in the same segment are equal. (Bow theorem)
The angle at the centre is twice the angle at the circumference. (Arrow theorem)
The angle between a tangent and a chord is equal to the angle in the alternate segment.. (Alternate segment theorem)

Circle Theorem 2 (with proofs)
The opposite angles in a cyclic quadrilateral always add up to 180 degrees.
The angle between a radius and a tangent is 90 degrees.
The lengths from where two tangents touch a circle to where they meet each other are equal.

The Alternate Segment Theorem
The angle between a tangent and a chord is equal to the angle in the alternate segment.

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