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GCSE Maths

Geometry

Circle Theorems

Circle Theorems

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Practice Questions and Resources

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Solutions

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Level 7–9
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Key Points 

  • Angle at the centre is twice the angle at the circumference.

  • Angles in the same segment are equal.

  • Angle in a semicircle is 90°.

  • Opposite angles in a cyclic quadrilateral add to 180°.

  • Radius is perpendicular to a tangent.

  • Alternate segment theorem.


Keywords: circle theorems, cyclic quadrilateral, tangent, circumference angle, GCSE maths.

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