A certain machine is to contain two wheels, one of radius 2 inches and one of radius 8 inches. The manufacturer of this machine needs to produce a belt that will fit snugly around the two wheels, as shown in the diagram below. How long should the belt be?

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Step-by-step explanation:

The length of the belt is the length around 2 inch radius wheel PLUS length around 8 inch radius wheel.

The length around a circular region is its circumference. The formula is:

Where

C is circumference

r is the radius

We sum up both, given first one radius is 2 and second one radius is 8, so we have:

The length of the belt should be around 62.83 inches

395.84

step-by-step explanation:

2πrh+2πr²

2 (pie)(radius)(height)+2(pie)(radius)^2