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