A complete, ready to teach GCSE maths lesson on the circumference and area of a circle. Students learn the parts of a circle, discover where π comes from, then use C = πd and A = πr² to find lengths and areas, give answers in terms of π and work backwards from a given circumference or area. Radius, diameter and circumference are colour coded on every diagram, so students can see which measurement each formula needs.
- 30 slides
- About 60 minutes
- All answers included
- Teacher notes on every slide
- Editable diagrams
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What the lesson covers
- Learning objectives at three levels: must, should and could.
- Warm up on halving, squaring, square roots and rounding to 1 decimal place, with answers.
- Parts of a circle: centre, radius, diameter and circumference, and why the diameter is twice the radius.
- What π is, shown by unrolling the circumference against the diameter.
- Circumference: worked examples from a diameter, from a radius and working backwards, then six your turn questions with answers.
- Area: worked examples from a radius and from a diameter, answers in terms of π, and finding the radius from the area.
- Practice: six mixed questions, including a semicircle, with a full answer slide.
- Problem solving: how many turns a bike wheel makes in 1 km, and whether one large pizza beats two small ones.
- Exam style question (4 marks) on varnishing a circular table, with a mark scheme.
- Common mistakes, an exit ticket with answers and a key points summary.
Who it is for
GCSE maths, Foundation and Higher tier, and a strong Key Stage 3 class. It sits well alongside our premium Pythagoras’ theorem lesson.
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More resources
Browse all premium PowerPoints, or find more teacher made slides in our free shapes, angles and circles PowerPoints.