Question

Wayne's class is building a wagon to be used as a float for the upcoming Pioneers Day Parade. The outsides of the four wagon wheels are going to be covered in brown felt so they can draw pictures on them. Rubber stripping will go around the wheel to help give it a smoother ride during the parade.

If each wheel has about 94.2 inches of rubber around it, the diameter of each wheel is
inches.

Given this diameter, they need
square inches of felt to cover each wheel.

If they can buy a rectangular piece of felt that has a width equal to the diameter of the wheel, the rectangular piece of felt would need to have a length of at least
inches in order for each of the four wheel covers to be a solid piece. Though to account for any cutting errors, it should probably be a little longer.

Answer 1

[AI-generated answer — Bot GPT 3.5]

The formula for the circumference of a circle (which will give us the amount of rubber stripping needed) is:

Circumference = π * diameter

Plugging in the given circumference of 94.2 inches, we can solve for the diameter:

94.2 = π * diameter
diameter = 94.2 / π
diameter ≈ 30 inches

The formula for the area of a circle (which will give us the amount of felt needed) is:

Area = π * radius^2

Since the diameter is twice the radius, we can calculate the radius as half of the diameter:

radius = 30 / 2 = 15 inches

Plugging in the radius, we can solve for the area:

Area = π * 15^2
Area = π * 225
Area ≈ 706.86 square inches

Since the width of the rectangular piece of felt is equal to the diameter of the wheel (30 inches), the length needed can be found by doubling the radius and adding a little extra for cutting errors:

Length = 2 * 15 + extra
Length = 30 + extra

Therefore, the rectangular piece of felt would need to be at least 30 inches plus some extra length in order to cover each wheel completely.