Question 10 (Suggested maximum time: 10 minutes) (a) Work out the circumference of a circle with a diameter of 8 cm - Junior Cycle Mathematics - Question 10 - 2019

The length of the rubber track can be calculated as the circumference of one wheel multiplied by 4 (since there are four wheels).

Using the circumference calculated previously:

$ext{Length of rubber track} = 4 imes C$

Substituting the value:

$= 4 imes 25.1 = 100.4 ext{ cm}$

Thus, the length of the rubber track is 100.4 cm (to one decimal place).

First, we calculate the total distance the digger travels, which is equal to the length of the rubber track:

Total distance = 100.4 cm.

Each wheel makes one complete turn when it travels a distance equal to its circumference:

$ext{Circumference of one wheel} = 25.1 ext{ cm}$

To find the number of full turns:

ext{Number of turns} = rac{ ext{Total distance}}{ ext{Circumference}} = rac{100.4}{25.1} ext{ turns}

Calculating this gives:

$ext{Number of turns} ext{ (approx.)} = 4 ext{ turns}$

Thus, the wheel will turn fully 4 times.