Question

Answer the following questions:

How do you find the area of a circle?
How do you find the circumference of a circle?
What information do you need in order to find the area or circumference of a circle?
To determine the number of full rotations your tires complete before you need to switch the front and back tires, will you be working with area or circumference?

Choose one of the vehicles and keep track of how far you travel in that vehicle for a week. Calculate the average daily number of rotations made by the tires.
Use your data to predict when you will need to switch the front and back tires.

You will turn in the following:
a table containing the circumferences of the tires of three vehicles
clearly labeled calculations showing how you determined the number of rotations each of the vehicles’ tires will complete in 10,000 miles
data showing distance traveled in a week
clearly labeled calculations showing how you found the average daily number of rotations
a prediction for when you will need to switch the front and back tires and an explanation of your prediction

You will turn in the following:

a paragraph explaining what would happen to the number of rotations if your tires’ circumference increased by 20%
a paragraph explaining what would happen to the number of rotations if your tires’ circumference decreased by 20%

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the area of a circle, you use the formula A = πr^2, where r is the radius of the circle. To find the circumference of a circle, you use the formula C = 2πr, where r is the radius of the circle. In order to find the area or circumference of a circle, you need to know the radius of the circle.

When determining the number of full rotations your tires complete before you need to switch the front and back tires, you will be working with the circumference of the tires.

To make predictions for when you will need to switch the front and back tires, you will need to calculate the average daily number of rotations made by the tires. You can do this by dividing the total number of rotations completed in a week by the number of days in the week.

If your tires’ circumference increased by 20%, the number of rotations would also increase by 20%. This is because the circumference of the tire directly affects the number of rotations it completes.

If your tires’ circumference decreased by 20%, the number of rotations would also decrease by 20%. Again, this is because the circumference of the tire directly affects the number of rotations it completes.