The circumference of a circle is the perimeter of the circle.

The radius of a circle is any line segment that joins the centre of a circle to its edge.

The diameter of a circle is any line segment that starts and ends on the edge of the circle and passes through the centre.

Circumference of a circle

Maths

Checking understanding of perimeter

Checking understanding of area

Multiplicative relationships in circles

Area of a circle

Using the formula for the area of a circle

Area of composite shapes

Perimeter of composite shapes

Finding a length in composite shapes

Surface area of cuboids

Properties of prisms

Surface area of prisms

Surface area of cylinders

Volume of prisms

Volume of cylinders

Problem solving with perimeter, area and volume

In this unit, pupils have derived the formula for the circumference and area of a circle. In the future unit, this knowledge is combined with knowledge of fractions to find the arc length and area of a sector.

 In the prior unit, pupils learnt how to derive and use the formula for the area of a triangle and trapezium. In this unit, this knowledge is called upon to find the volume of different prisms and area of composite shapes.

In this unit pupils extend their knowledge of shapes by exploring the properties of circles and composite shapes before developing understanding of 3-D shapes including surface area and volume.

Perimeter, area and volume

A circle with a diameter of 6 cm has a circumference of {{ }} cm, when rounded to 1 decimal place.

The circumference of the circle is {{ }} cm, when rounded to 3 significant figures.

Which calculation would find the radius of a circle with circumference 20 cm?

The circumference of a circle is 30 cm. The diameter of the circle is {{ }} cm, when rounded to 1 decimal place.

Starting with the smallest, sort the circles in ascending order of size.

If a circle has a diameter of 12 cm then its radius will be {{ }} cm.

$$\pi$$ is the ratio between which two parts of a circle?

Which two formulae can be used to calculate the circumference of a circle?

A circle with diameter 12 cm has a circumference of {{ }} cm.

A circle with radius 20 cm has a circumference of {{ }} cm.

Circumference of a circle

Lesson outcome