you need to find the length of a broken automitive belt. the belt ran around 2 pulleys whose centers were 11 in apart. one of the pulleys is 4" dia. and the other is 6" dia. what is the totoal length of the belt needed to connect thr pulleys?

To find the total length of the automotive belt needed to connect the pulleys, you need to consider the distance between the pulleys and the diameters of the pulleys.

First, let's find the circumference of each pulley using the formula: Circumference = π * Diameter.

For the 4" diameter pulley, the circumference will be:
Circumference of 4" pulley = π * 4" = 12.57 inches.

For the 6" diameter pulley, the circumference will be:
Circumference of 6" pulley = π * 6" = 18.85 inches.

Now, since the belt runs around both pulleys, we need to account for the distance between the centers of the pulleys. In this case, the centers are 11 inches apart.

To calculate the length of the belt needed to connect the pulleys, we need to add the circumference of both pulleys and the distance between them:

Total belt length = Circumference of 4" pulley + Circumference of 6" pulley + Distance between pulleys.

Total belt length = 12.57 inches + 18.85 inches + 11 inches.

Total belt length = 42.42 inches.

So, the total length of the automotive belt needed to connect the pulleys is approximately 42.42 inches.