Perimeter and area test questions

1

Calculate the area of this semi-circle. (Answer given is rounded to 1 decimal place).

Diagram of a semicircle with a 4cm radius.

2

Calculate the perimeter of this semi-circle. (Answer given is rounded to 1 decimal place).

Diagram of a semicircle with a 4cm radius.

3

A semicircular glass window sits on a ledge which is \(1.3m\) wide.

Calculate the cost of the glass used in it when it is priced at \(\pounds48.50\) per square meter. Give your answer to the nearest 10 pence. (Take \(\pi = 3.14\)).

4

A \(400\,m\) running track is \(65\,m\) wide. It is made up of two equal straight sections and two equal semi-circles. A sketch, which is not to scale, is shown.

400 m runing track 65 m wide

How long is one straight section. (Take \(\pi=3.14\)).

5

Calculate the area of this kite. The sketch is not to scale.

Diagram of a 3.8 x 6.2cm kite.Diagram of a 3.8 x 6.2cm kite

6

Calculate the area of this shape. (Answer given is rounded to 1 decimal place).

Diagram of a combined shape with a semicircle, rectangle and two triangles

7

Calculate the area of this triangle.

Diagram of a 3.2 x 5cm right-angled triangle.