An automobile is pushed so that its wheels turn one​-half of a revolution. If the tires have a radius of 17 ​inches, how many inches does the car​ move?

Respuesta :

Answer:

The car moves approximately 53.38 inches.

Step-by-step explanation:

We are given the following in the question:

Radius of tire = 17 inches

The wheels of an automobile turn one​-half of a revolution.

One revolution is of [tex]2\pi[/tex].

one​-half of a revolution is will be of:

[tex]\dfrac{1}{2}\times 2\pi = \pi[/tex]

Relation between arc length, angle measure and radius is:

[tex]s = r\theta = 17\pi = 53.38[/tex]

Thus, the car moves approximately 53.38 inches.