Answer:
See Below
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:
[tex]C=2 \pi r[/tex]
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:
[tex]2\pi r + 2 \pi r \\=2 \pi (2) + 2 \pi (8)\\=4\pi + 16 \pi\\= 20 \pi\\=62.83[/tex]
The length of the belt should be around 62.83 inches
