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Spotting the clues

Spotting the clues

Composite figure showing a radius perpendicular to a tangent, a centre angle twice a matching circumference angle, opposite angles in a cyclic quadrilateral summing to 180 degrees, and the alternate segment theorem

Circle theorems help you turn a picture into facts about angles and lengths. Most questions become easier once you label the centre, tangents, chords, and any equal radii.

Circle Theorems Lesson

  1. IGCSE
  2. /Maths
  3. /Circle Theorems

Step-by-step lessons covering CIE IGCSE Maths Circle Theorems for Core and Extended tier. Each lesson works through exam-style questions in Paper 1 and Paper 3 (Core) or Paper 2 and Paper 4 (Extended) format. Start with the Core-tier fundamentals in number and algebra before moving on to the more demanding Extended-only topics like calculus-adjacent algebra and advanced trigonometry.

Lessons

Recurring Decimals to FractionsFractional and Negative IndicesDirect and Inverse ProportionExpanding Triple BracketsSolving Simultaneous Equations GraphicallyGradient of a LineEquation of a LineSpheres and ConesSector Areas and Arc LengthsParallel and Perpendicular LinesSimilar Shapes (Area and Volume)Circle TheoremsCumulative FrequencyProbability Trees