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Method: Sectors and Arcs

Part of Sectors & Arcs — GCSE Mathematics

This deep dive covers Method: Sectors and Arcs 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 3 of 4 in this topic. Use this deep dive to connect the idea to the wider topic before moving on to questions and flashcards.

Topic position

Section 3 of 4

Practice

10 questions

Recall

3 flashcards

Method: Sectors and Arcs

1 Find the fraction: θ/360
2 Multiply by the FULL circle formula
3 Arc: fraction × circumference
4 Area: fraction × πr²

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.

Key FormulasWorked Example: Sector AreaPizza Slice Maths

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

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

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Worked Example: Sector Area