Can you help me with this?
I did the first part here:
The diameter of a tire is 2.5ft.
A. find the circumference. (my answer is 7.85)
B. how many times will the tire have to rotate to travel 1 mile? (1 mile = 5,280ft)
Thank you :)
C = pi D = 3.14159 * 2.5 ft so Yes
so how many circumferences in 5280 ft? n = 5280/7.85
yes
every time the tire turns, you go 7.85 ft :)
i am to...
so do i divide?
i did that and i got 672.611465. i guess thats the answer.?
thank you so much damon!
wait i’m so confused
I am confused
Of course, I'd be happy to help! Let's go through each part step by step:
A. Finding the circumference:
To find the circumference of a circle, you can use the formula: circumference = π * diameter.
Given that the diameter of the tire is 2.5ft, we can substitute this value into the formula:
circumference = π * 2.5.
Now, in order to find the numerical value for the circumference, we'll use an approximation for π, which is typically rounded to 3.14:
circumference = 3.14 * 2.5.
Calculating this, we get: circumference ≈ 7.85ft.
So, your answer of 7.85ft is correct!
B. Finding the number of rotations in 1 mile:
To determine how many times the tire will have to rotate to travel a certain distance, we can use the relationship between the circumference of the tire and the distance traveled.
Since we know the circumference of the tire is approximately 7.85ft, we can find the number of rotations needed to cover 1 mile (5,280ft) by dividing the distance by the circumference:
number of rotations = distance / circumference.
Substituting the values into the formula:
number of rotations = 5,280 / 7.85.
Calculating this, we get: number of rotations ≈ 672.61.
Hence, the tire will need to rotate approximately 672.61 times to travel 1 mile.
I hope this helps! Let me know if you have any further questions.