Answer:
37 inches.
Step-by-step explanation:
It is given that a bicycle wheel travels travel 116.24 inches in one revolution . It means circumference of wheel is 116.24 inches.
[tex]C=116.24[/tex] ...(i)
We need to find the diameter of the tire.
[tex]d=2r[/tex]
We know that
[tex]C=2\pi r[/tex]
[tex]C=(2r)(3.14) [/tex] [tex][\because \pi=3.14][/tex]
[tex]C=3.14d [/tex] ...(ii)
From (i) and (ii), we get
[tex]3.14d=116.24 [/tex]
Divide both sides by 3.14.
[tex]d=\dfrac{116.24}{3.14} [/tex]
[tex]d=37.0191[/tex]
[tex]d\approx 37[/tex]
Therefore, the approximate diameter of tire is 37 inches.
