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Geometry & MeasuresKey Facts

Key Formulas

Part of Sectors & Arcs — GCSE Mathematics

This key facts covers Key Formulas within Sectors & Arcs for GCSE Mathematics. Revise Sectors & Arcs in Geometry & Measures for GCSE Mathematics with 10 exam-style questions and 3 flashcards. This topic appears regularly enough that it should still be part of a steady revision cycle. It is section 2 of 4 in this topic. Use this key facts to connect the idea to the wider topic before moving on to questions and flashcards.

Topic position

Section 2 of 4

Practice

10 questions

Recall

3 flashcards

Key Formulas

Arc Length(θ/360) × πd or (θ/360) × 2πr
Sector Area(θ/360) × πr²
Fraction of Circleθ/360 (where θ is the angle)
Perimeter of SectorArc length + 2 × radius

Keep building this topic

Read this section alongside the surrounding pages in Sectors & Arcs. That gives you the full topic sequence instead of a single isolated revision point.

Pizza Slice MathsMethod: Sectors and ArcsWorked Example: Sector Area

Practice Questions for Sectors & Arcs

What is the correct formula for the arc length of a sector with radius r and angle θ (in degrees)?

  • A. (θ/360) × πr²
  • B. (θ/360) × 2πr
  • C. 2πr²θ/360
  • D. πr²θ
1 markfoundation

Explain how the arc length and sector area formulae are derived from the formulae for the full circle.

2 markshigher

Quick Recall Flashcards

Sector Area
Area = (θ/360) × πr² for angle θ
Arc Length
Arc = (θ/360) × πd for angle θ

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Method: Sectors and Arcs