x

Sectors as fractions of circles

Sectors as fractions of circles

Sector of a circle with centre O, two radii, central angle theta, and arc length L labelled

A sector is a slice of a circle made from two radii and the arc between them. The diagram shows the central angle θ\thetaθ and the curved edge, which is the arc length LLL.

Sector Areas and Arc Lengths Lesson

  1. GCSE
  2. /Maths
  3. /Sector Areas and Arc Lengths

Step-by-step lessons covering AQA GCSE Maths Sector Areas and Arc Lengths for Foundation and Higher tier. Each lesson works through exam-style questions in Paper 1, Paper 2 and Paper 3 format. Build fluency with number, ratio and algebra first, since geometry, probability and statistics topics rely on them, and leave extra time nearer the exam for Higher-tier problem-solving and multi-step reasoning questions.

Lessons

Writing a Ratio as a Fraction or Linear FunctionDirect and Inverse ProportionReverse PercentagesStandard FormSpeed and DensityChanging the Subject of a FormulaExpanding and Factorising QuadraticsSolving QuadraticsDrawing Quadratic GraphsSimultaneous EquationsSolving Simultaneous Equations GraphicallyGradient of a LineEquation of a LineSpheres and ConesSector Areas and Arc LengthsSimilar Shapes (Lengths)Exact trig valuesProbability TreesVenn Diagrams