The scale on a globe is 1/8 of an inch equals 125 miles. How many inches is the circumference of the globe if the diameter of the Earh is 7,926.41 mi?

2π*7926.41/125 = 398.4

so, there are 398.4 divisions needed. That would be 399.4/8 = 49.8 inches

To find the circumference of the globe (the Earth), first, we need to calculate the radius of the Earth. The diameter is given as 7,926.41 miles. The radius is half of the diameter, so we divide the diameter by 2:

Radius = Diameter / 2 = 7,926.41 mi / 2 = 3,963.2055 mi

Now that we have the radius, we can use the scale given on the globe. The scale indicates that 1/8 of an inch on the globe represents 125 miles in reality. We need to figure out how many inches represent the actual circumference of the Earth.

To do that, we can set up a proportion:

1/8 inch x inches
--------- = ---------
125 miles 2π * 3,963.2055 miles

Here, we use the formula for the circumference of a circle, which is 2πr (where r is the radius of the circle).

Simplifying the proportion:

1/8 inch = (x inches * 125 miles) / (2π * 3,963.2055 miles)

To solve for x inches, we can cross-multiply and solve for x:

1/8 inch * (2π * 3,963.2055 miles) = x inches * 125 miles

(2π * 3,963.2055 miles) / 8 inch = x inches * 125 miles

x inches = [(2π * 3,963.2055 miles) / 8 inch] / 125 miles

x inches = π * 3,963.2055 / 8 * 125

Now, we can calculate x using the value of π (pi) as approximately 3.14:

x inches = 3.14 * 3,963.2055 / 8 * 125

x inches = 12350.7851 / 1000

x inches = 12.3507851 inches

Therefore, the circumference of the globe (Earth) is approximately 12.3507851 inches.