Question

A roundabout is a one-way circular intersection.
About how many feet would a car travel if it drove
once around the roundabout? Round to the
nearest foot.

Answer 1

Answer:

$471\:\mathrm{ft}$

Step-by-step explanation:

In one full rotation around the roundabout, the car is travelling a distance equal to the circumference, or the perimeter, of the circle. The circumference of a circle with radius $r$ is given by $C=2r\pi$. In the diagram, the diameter is labelled 150 feet. By definition, the radius of a circle is exactly half of the diameter of the circle. Therefore, the radius must be $\frac{150}{2}=75$ feet. Thus, the car would travel $2\cdot 75\cdot \pi=471.238898038=\boxed{471\:\mathrm{ft}}$