Question

Wheel 1 has diameter 28.9 in. Wheel 2 has a diameter 23.4 in. Round the diameter of each wheel to the nearest inch. About how much farther will Wheel 1 travel in rotation? Use 3.14 for pie.

Answer 1

19 Inch

Explanation:

• Wheel 1 has diameter 28.9 in.
• Wheel 2 has a diameter 23.4 in

To the nearest Inch

• Diameter of Wheel 1 = 29 inch

• Diameter of Wheel 2 = 23 inch

The Distance Traveled in 1 rotation by each wheel is defined by its circumference.

Circumference of a Circle =
`\pi d`

• Distance Traveled by Wheel 1 in 1 rotation=
  `29\pi`

• Distance Traveled by Wheel 2 in 1 rotation =
  `23\pi`

We are given
`\pi =3.14`

Difference in the Distance Traveled =
`29\pi -23\pi=6 \pi=6 X 3.14=18.84`

=19 inch (to the nearest inch)

Wheel 1 will travel approximately 19 inch farther than wheel 2 in 1 rotation.