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

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.

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 $$b = 6$$.

This lesson will be removed by end of Summer Term 2025.

Multiplicative relationships in circles

Lesson outcome

This lesson will be removed by end of Summer Term 2025.