MA23-04 Maths Watch
Arc length and sector area, including major sectors
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In this lesson
In this video you'll learn about arc length and sector area, including major sectors for GCSE Maths, with worked examples and the mistakes examiners report. By the end you'll be able to calculate arc length and sector area for a circle sector given its radius and angle, including major (reflex-angle) sectors and algebraic 'show that' problems.
What it covers
- 0:52 A sector is a slice of a circle, cut from the centre out, like a slice of cake
- 3:55 Sector area runs on the same fraction
- 8:19 One last kind
Key words
For: AQA GCSE 8300, Cambridge IGCSE 0580, Edexcel GCSE 1MA1, Edexcel IGCSE 4MA1, Eduqas GCSE C300, OCR GCSE J560
On the specification
| Board | Spec | Statement |
|---|---|---|
| AQA GCSE 8300 | G18 | Calculate arc lengths, angles and areas of sectors of circles |
| Cambridge IGCSE 0580 | C5.3 | Carry out calculations involving the circumference and area of a circle. |
| Cambridge IGCSE 0580 | E5.3 | Carry out calculations involving the circumference and area of a circle. |
| Edexcel GCSE 1MA1 | G18 | Calculate arc lengths, angles and areas of sectors of circles |
| Edexcel IGCSE 4MA1 | H4.9A | Find perimeters and areas of sectors of circles |
| Eduqas GCSE C300 | FG16 | Calculate arc lengths, angles and areas of sectors of circles |
| Eduqas GCSE C300 | HG18 | Calculate arc lengths, angles and areas of sectors of circles |
| OCR GCSE J560 | 10.02b | Know and apply the formula circumference = 2πr = πd to calculate the circumference of a circle. |
| OCR GCSE J560 | 10.03d | Know and apply the formula area = πr^2 to calculate the area of a circle. |
For teachers
This GCSE Maths lesson teaches arc length and sector area, including major sectors. By the end, students should be able to calculate arc length and sector area for a circle sector given its radius and angle, including major (reflex-angle) sectors and algebraic 'show that' problems. It works through three worked examples and the mistakes examiners report.