The area is the size of the surface and states the number of unit squares needed to completely cover that surface.

A compound shape is a shape created using two or more basic shapes.

A composite shape is an alternative for a compound shape.

A pie chart (pie graph) is a circular graph where sectors represent different groups proportionally.

Problem solving with complex 2D shapes

Maths

In this unit, pupils built upon their prior learning of the area of different shapes. In the future unit, pupils will continue to further develop their understanding of shapes by considering surface area and volume of pyramids, spheres and cones.

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

2D and 3D shape: compound shapes

The diagram shows a square inscribed inside a circle. The length of the square is 6 cm. What is the diameter of the circle?

The diagram shows a square inscribed inside a circle. The diameter of the circle is 6 cm. Work out the length of the square.

The diagram shows a square inscribed inside a circle. The length of the square is 8 cm. The area of the circle is {{ }}$$\pi$$ cm².

The diagram shows a square inscribed inside a circle. The diameter of the circle is 8 cm. The area of the square is {{ }}cm².

The diagram shows a square inscribed inside a circle. The diameter of the circle is 12 cm. Which calculation would find the area of the shaded region?

The diagram shows a square inscribed inside a circle. The length of the square is 12 cm. The area of the shaded region is {{ }} cm² (to one decimal place).

A {{ }} is a circular graph where sectors represent different groups proportionally. 

Jacob wants to plot a pie chart to represent the data in the table. What angle for the sector representing 'museum' should Jacob use?

A circle has diameter 10 cm. Its area is ____$$\pi$$ cm².

$$\frac{70}{360} \times 2 \times \pi \times 10$$

$$\frac{70}{360} \times \pi \times 10^2$$

$$\frac{70}{360} \times \pi \times 20^2$$

The diagram shows a sector of a circle with radius 10 cm. The angle at the centre of the sector is 70°. Which calculation would find the area of the sector?

The diagram shows a sector of a circle with radius 12 cm. The angle at the centre of the sector is 60°. The area of the sector is {{}}$$\pi$$ cm².

The diagram shows a sector of a circle with radius 12 cm. The angle at the centre of the sector is 60°. The perimeter of the sector is {{}} cm (to one decimal place).

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

Problem solving with complex 2D shapes

Lesson outcome

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