Question

You are going on a field trip in a school bus. A special detector placed on one of the bus's tires counts the number of rotations completed by the tire during the journey. The tire's diameter is 1 meter, and it made 8000 rotations during the trip. How far did the bus travel? Give your answer in terms of pi.

Answer 1

Answer: $8000\pi \text{meters}$

Step-by-step explanation:

We know that the total distance covered by any tire or wheel is given by :-

$\text{Distance =Number of rotations * Circumference}$

Given: Diameter of Tire = 1 meter

Number of rotations = 8000

Formula of circumference :-

$C=\pi d$, where d is the diameter .

Then, the the total distance covered by any tire will be :-

$\text{Distance }=8000*\pi (1)\\\\\Rightarrow\text{Distance}=8000\pi \text{ meters}$

Hence, the total distance covered by the tire =   $8000\pi \text{meters}$

Answer 2

First you need to find the circumference of the circle because 1 revolution is 1 length of the circumference. The formula for the circumference is C=2πr or C=πd, if the diameter is 1 metre, then the circumference is π1 which is just π, and if it travelled 8000 rotations then that would mean it travelled 8000π, so it travelled 8000π in metres