Area of a sector
I can calculate the area of a sector.
Area of a sector
I can calculate the area of a sector.
These resources will be removed by end of Summer Term 2025.
Switch to our new teaching resources now - designed by teachers and leading subject experts, and tested in classrooms.
These resources were created for remote use during the pandemic and are not designed for classroom teaching.
Lesson details
Key learning points
- Using fractions, you can calculate the area of a sector of a circle.
- An exact answer may be given in terms of π
- Comparisons can be made between the area and another quantity.
Keywords
Sector - A sector is the region formed between two radii and their connecting arc.
Arc - An arc is part of a curve. An arc of a circle is part of the circle’s circumference.
Circumference - The circumference of a circle is the perimeter of the circle.
Radius - The radius is any line segment that joins the centre of a circle to any point on its circumference.
Common misconception
If I double the radius of a sector, its area also doubles.
The radius and area of a sector (or circle) do not share a linear relationship, so you cannot apply direct proportional reasoning. However, angle of a sector and its area do share a linear relationship, as long as the angle is ≤ 360°.
To help you plan your year 10 maths lesson on: Area of a sector, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your year 10 maths lesson on: Area of a sector, download all teaching resources for free and adapt to suit your pupils' needs.
The starter quiz will activate and check your pupils' prior knowledge, with versions available both with and without answers in PDF format.
We use learning cycles to break down learning into key concepts or ideas linked to the learning outcome. Each learning cycle features explanations with checks for understanding and practice tasks with feedback. All of this is found in our slide decks, ready for you to download and edit. The practice tasks are also available as printable worksheets and some lessons have additional materials with extra material you might need for teaching the lesson.
The assessment exit quiz will test your pupils' understanding of the key learning points.
Our video is a tool for planning, showing how other teachers might teach the lesson, offering helpful tips, modelled explanations and inspiration for your own delivery in the classroom. Plus, you can set it as homework or revision for pupils and keep their learning on track by sharing an online pupil version of this lesson.
Explore more key stage 4 maths lessons from the 2D and 3D shape: compound shapes unit, dive into the full secondary maths curriculum, or learn more about lesson planning.
Licence
Lesson video
Loading...
Starter quiz
6 Questions
Exit quiz
6 Questions
