Perimeter of composite shapes
I can solve perimeter problems of composite shapes involving whole and/or part circles.
Perimeter of composite shapes
I can solve perimeter 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 length of fractions of the circumference of a circle can be found.
- The perimeter of parts of a circle can be found using the formula for the circumference and reasoning.
- The perimeter of shapes made from circles and parts of circles can be found using the circumference and reasoning.
- The perimeter of composite shapes including circles can be found.
Keywords
Arc - An arc is part of a curve. When describing an arc of a circle, it is part of the circle's circumference.
Common misconception
Shapes with the same area also have the same perimeter.
Demonstrate that component parts being rearranged has no effect on its area, but may affect its perimeter.
To help you plan your year 8 maths lesson on: Perimeter 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: Perimeter 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
Exit quiz
6 Questions



value of $$a$$ -
9 cm
radius of each quarter-circle -
8 cm
total length of line segments -
34 cm
total length both arcs -
8$$\pi$$ cm
total perimeter of shape -
59.1 cm
