Question

The rubber track for a toy digger goes around four circular wheels of diameter 8 cm, as shown. (b) Calculate the length of the rubber track that goes around the four wheels. Give your answer correct to one decimal place.

Answer 1

73.1 cm

Explanation:

In the drawing, the rubber track is in black and the wheels are in light gray.

As we can see in the figure, the rubber track will have a length of two halfs of a circunference of radius 8 cm plus six diameters of 8 cm. So the total length is:

Length of rubber track = pi * 8 + 6 * 8 = 25.13 + 48 = 73.133 cm

Rounding to one decimal place, we have that the length is 73.1 cm

Answer 2

This question is incomplete because it lacks the diagram of the 4 circular wheels.

Find attached to this answer the appropriate diagram

Answer:

100.5cm

Explanation:

The formula to be used in this calculation is the circumference of a circle.

The circumference of a circle can be defined as the actual length of a circle when it is stretch out(opened up) or the distance around a circle.

The formula for the circumference of a circle is given as 2πr where r = radius of the circle

Or πD where D = Diameter of the circle

In the question, we are given the diameter of the circle = 8cm

So we use the Formula

= πD

The length of the rubber track around one wheel is

= π × 8cm = 25.132741229cm

From the attached diagram, we can see we have 4 wheels.

The length of the rubber track that goes around the four wheels is calculated as

4 × 25.132741229cm = 100.53096491cm.

Approximately to one decimal place = 100.5cm

Therefore, the length of the rubber track that goes around the four wheels to one decimal place is 100.5cm