Lets get started :)
Diameter = 2.5 ft
Radius = [tex] \frac{diameter}{2} = \frac{2.5}{2} = 1.25[/tex]
a) The Circumference formula of a circle is given in the picture below, we can plug-in the given information
C = 2[tex] \pi [/tex](1.25) or 2.5[tex] \pi [/tex]
≈ 7.85 ft
(we can leave the answer in terms of pi {[tex] \pi [/tex]})
b) We divide the total number of distance the tire will travel by the circumference to find how many times the tire will roll
[tex] \frac{5280}{circumference} = \frac{5280}{2.5 \pi } [/tex]
(I have used the value in feet because we found the circumference in feet units and notice that I took the value of circumference to be 2.5[tex] \pi [/tex] instead of 7.85, to increase accuracy)
672.2
The tire will rotate 672 times (a tire cannot roll a decimal times, so we take to the nearest whole number) to travel 1 mile
