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 5 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 5
Practice
10 questions
Recall
3 flashcards
Key Formulas
| Arc Length | (θ/360) × πd or (θ/360) × 2πr |
| Sector Area | (θ/360) × πr² |
| Fraction of Circle | θ/360 (where θ is the angle) |
| Perimeter of Sector | Arc 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.
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)?
Explain how the arc length and sector area formulae are derived from the formulae for the full circle.
Quick Recall Flashcards
10 questions on Sectors & Arcs — practise free
Instant marking, adaptive difficulty, and 3 spaced repetition flashcards. Free until your GCSEs.
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