Question

Heather works in a circular showroom for wallpaper and tiles. Aisles divide the showroom like the spikes of a wheel. Each spoke aisle is 25 feet long. A spoke aisle goes from the center to the outer corridor that circles the entire showroom. In one eight-hour workday, Heather estimates that she walks around the outer corridor at least 17 times, and walks the length of 6 spoke aisles. What is the approximate distance that she walks in one day?

Answer 1

2820.36 feet

Explanation:

First we need to find the length of the outer corridor, and we do that by finding the length of the circunference with a radius of 25 feet:

C = 2 * pi * r = 2 * pi * 25 = 157.08 feet

Now, as Heather walks the outer corridor 17 times and the length of 6 spoke aisles (the radius of the circunference), we have that the total distance she walks is:

Distance = 17 * 157.08 + 6 * 25 = 2820.36 feet