Matt rolls an old inflated tire in his backyard. If the outer radius of the tire is 30 centimeters and the tire completes 20revolutions, what is the distance that the tire travels?

Respuesta :

Given: Matt rolls an old inflated tire in his backyard. If the outer radius of the tire is 30 centimeters and the tire completes 20 revolution.

Find: the distance that the tire travels.

Explanation: the tire travel distance in 1 revolution is

[tex]\begin{gathered} 2\pi r \\ =2\pi\times30 \\ =60\pi\text{ cm} \end{gathered}[/tex]

the tired travel distance in 20 revolution is

[tex]\begin{gathered} 60\pi\times20 \\ =1200\pi cm \end{gathered}[/tex]

Final answer: the required answer is

[tex]1200\pi cm[/tex]