Question

A car wheel as a diameter of 20.8 inches. About how far does the car wheel travel in:

a. 1 rotation?
b. 5 rotations?
c. 30 rotations?

Answer 1

distance travelled in one rotation is the circumference of the tyre.

so

a. 1 rotation=pi×20.8

=22×20.8/7

=65.37 approx

b.5 rotations is 65.37×5

=325.86 aprox

c. 30 rotations is 30×65.37

=1961.14 inches aprox

Answer 2

Answer: a ≈ 65in. b ≈ 325in. c ≈ 1950in.

Explanation:

Diameter = 20.8

Circumference = d or 2r

= 3.14

Radius = d/2

This question requires us to find the circumference as the circumference is one full rotation around the circle (car wheel in this case)

Put it all together:

C = 3.14 x 20.8

= 65.31200

R = 10.4

The question says ABOUT hence we will round it to a whole number

C ≈ 65

D ≈ 10

As the circumference is one full rotation around the circle, the circumference itself is the answer for a.

If one full rotation is equal to 65, we would have 65 x 5 for 5 and so on

65 x 5 = 325

65 x 30 = 1950

Hope this helped, have a great day/night!