101A - Investigating Circle Theorems

MrDoyle, Mrs Davies, May 10, 2025

This collection holds dynamic worksheets of all 8 circle theorems.


  • 1. Circle Theorem 1 - Angle at the Centre
  • 2. Circle Theorem 2 - Angles in a Semicircle
  • 3. Circle Theorem 3 - Angles in the Same Segment
  • 4. Circle Theorem 4 - Cyclic Quadrilateral
  • 5. Circle Theorem 5 - Radius to a Tangent
  • 6. Circle Theorem 6 - Tangents from a Point to a Circle
  • 7. Circle Theorem 7 - Alternate Segment Theorem

1.

Circle Theorem 1 - Angle at the Centre

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Move the points on the circumference of the circle. What do you notice about the angle at the centre and the angle at the circumference?[br][br]Note: Due to GeoGebra's rounding this model only holds true when the angle at the centre is set to an even number.
Circle Theorem 1 - Angle at the Centre
– Mrs Davies, MrDoyle

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