### Instruction: A wheel with radius $1\text{ m}$ is rolled in a straight line through one complete revolution on a flat horizontal surface. How many meters did the center of the wheel travel horizontally from its starting location?### Response: I know that one revolution of the wheel corresponds to the circumference of the circle, which is $2\pi r$ where $r$ is the radius.
So, if the radius is $1\text{ m}$, then the circumference is $2\pi\text{ m}$.
That means that the center of the wheel moved $2\pi\text{ m}$ horizontally from its starting location.
I could leave the answer in terms of $\pi$, or I could approximate it using a calculator.
If I use a calculator, I get that $2\pi\approx 6.28$, so the answer is about $6.28\text{ m}$.