Area of composite shapes
I can solve area problems of composite shapes involving whole and/or part circles.
Area of composite shapes
I can solve area problems of composite shapes involving whole and/or part circles.
These resources will be removed by end of Summer Term 2025.
Lesson details
Key learning points
- The area parts of a circle can be found using the area formula and reasoning.
- The area of shapes made from circles and parts of circles can be found.
- The area of composite shapes that include circles can be found.
Keywords
Sector - A sector is the region formed between two radii and their connecting arc.
Common misconception
To find the area of a quarter-circle divide the radius by 4 to use as part of the calculation.
You must divide the area by 4, not the radius. The radius gets squared when calculating area so the division of r would be applied twice.
To help you plan your year 8 maths lesson on: Area of composite shapes, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your year 8 maths lesson on: Area of composite shapes, 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 3 maths lessons from the Perimeter, area and volume unit, dive into the full secondary maths curriculum, or learn more about lesson planning.
Licence
Starter quiz
6 Questions

The radius is -
40
The area in terms of $$\pi$$ -
1600$$\pi$$
The area in decimal form is -
5026.5
The circumference is -
80$$\pi$$

Exit quiz
6 Questions


area of square -
4 cm²
area of semicircle -
$${1\over2}\pi$$ cm²
area of quarter-circle -
3.14 cm²
area of composite shape -
8.71 cm²

