Question

A tire at the top of a hill starts rolling down the hill. If the diameter of the tire is 36 inches, how many inches has the tire rolled if it has rotated exactly 10 times down the hill?

A) 180
B) 360
C) 36π
D) 360π

Answer 1

The answer would be 360pi. 

Answer 2

Therefore ,(D) 360π inches.

Explanation:

Given: A tire at the top of a hill starts rolling down the hill. If the diameter of the tire is 36 inches.

To find: How many inches has the tire rolled if it has rotated exactly 10 times down the hill.

Solution : We have given that diameter of tire = 36 inches.

Radius =
`(Diameter)/(2)`

Radius =
`(36)/(2)`

Radius = 18 inches.

Circumference of tire = 2 * π radius

Circumference of tire = 2 * π 18

= 36π

We need to rolled the tire 10 times down the hill

then, 10 * 36π = 360π inches.

Therefore ,(D) 360π inches.