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

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

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

Multiplicative relationships in circles

Maths

Checking understanding of perimeter

Checking understanding of area

Circumference of a circle

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

The {{}} of a circle is the perimeter of the circle.

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

Which symbol represents the ratio between the diameter and circumference of a circle?

Which are the first three digits of $$\pi$$?

A circle with diameter 10 cm has a circumference of {{ }} cm.

Round 3.14159265 to 3 significant figures.

The perimeter of the parallelogram is {{ }} units.

Select the rectangle with the largest perimeter.

$$a : b = 1 : 3$$. Find the value of $$b$$ when $$a = 6$$.

$$a : b = 1 : 3$$. Find the value of $$a$$ when $$b = 6$$.

Multiplicative relationships in circles

Lesson outcome