Question

a bicycle wheel company packages each wheel in a square box. each wheel has a circumference of about 56.5 inches. what is the approximate length of each side of the box?

a. 2 in
b. 8 in
c. 18 in
d. 3 in

Explanation:

Step1: Recall circumference formula

The formula for the circumference of a circle is $C = \pi d$, where $C$ is the circumference and $d$ is the diameter. Given $C\approx 56.5$ inches.

Step2: Solve for diameter

Since $C=\pi d$, then $d=\frac{C}{\pi}$. Substituting $C = 56.5$ inches and taking $\pi\approx3.14$, we have $d=\frac{56.5}{3.14}\approx18$ inches. The side - length of the square box that can fit the wheel is equal to the diameter of the wheel.

Answer:

C. 18 in