Mathematics·Geometry·procedural
Circles: Circumference & Area
Calculate the circumference and area of circles using the formulae C = πd (or 2πr) and A = πr², and solve problems involving perimeters and areas of composite shapes that include circular parts
Suggested ages 12–14
Evidence of understanding
- Calculate the circumference and area of a circle given its radius or diameter
- Find the perimeter or area of a composite shape made from rectangles and semicircles
- Explain the relationship between π, diameter, and circumference informally
Assessment prompt
If Circles: Circumference & Area wants to know how far a bicycle wheel travels in one full rotation, can they use the diameter of the wheel and π (pi) to work out the circumference?
Standards alignment
7.G.4US · ccss-math
Know the formulas for the area and circumference of a circle
Common Core State Standards for Mathematics · 7
KS3.Maths.Geo.2GB · uk-nc-2013
Perimeters and Areas of Circles and Composite Shapes
The national curriculum in England: Key stages 1 and 2 framework document · Key Stage 3