Question

A point travels halfway around a wheel with a radius of 1 foot. To the nearest foot, how many feet does it travel? feet

Answer 1

The answer is 3 feet.

Answer 2

$\text{Given that a point travels halfway around a wheel with a radius of 1 foot.}\\ \text{we need to find the distance traveled by the point to the nearest foot.}\\ \\ \text{we know that in one complete round along the wheel is equal to}\\ \text{the circumference of the wheel.}\\ \\ \text{so in traveling halfway around the wheel, point has traveled half of}\\ \text{the circumference of the wheel.}$

$\text{we know that the circumference of the circle with radiu r is}=2\pi r\\ \\ \text{Hence using this fact, the distance traveled by the point is}\\ \\ =\frac{1}{2}(2\pi r)\\ \\ =\frac{1}{2}(2 \pi (1))\\ \\ =\pi\\ \\ \approx 3.14$

Hence to the nearest foot, the distance traveled by point is: 3 feet