Geometry & MeasuresDeep Dive

Method: Sectors and Arcs

Part of Sectors & Arcs · GCSE GCSE Mathematics revision

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 5 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 5

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 Formulas Worked Example: Sector Area Pizza Slice Maths Knowledge Organiser: Sectors & Arcs

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

10 questions on Sectors & Arcs — practise free

Instant marking, adaptive difficulty, and 3 spaced repetition flashcards. Free until your GCSEs.

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Key Formulas

Worked Example: Sector Area