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Question
- a tractor tire has a radius of 3.5 feet. how far can the tractor travel in 50 revolutions?
Step1: Calculate tire circumference
The distance per revolution is the circumference of the tire, given by $C = 2\pi r$. Substitute $r = 3.5$ feet:
$C = 2\pi(3.5) = 7\pi$ feet
Step2: Total distance for 50 revolutions
Multiply circumference by number of revolutions:
$\text{Total Distance} = 50 \times 7\pi = 350\pi$
To get a numerical value, use $\pi \approx 3.1416$:
$350 \times 3.1416 = 1099.56$ feet
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$350\pi$ feet (or approximately 1100 feet, or 1099.56 feet)