joe has a bicycle with a front wheel that is 2 feet in diameter. how far does joe travel if his wheel turns exactly 100 complete revolutions in one directions?

314 feet

628 feet

1256 feet

6280 feet

Respuesta :

Given:

The diameter of the wheel is 2 feet.

Number of revolution = 100

To find:

The total distance covered by the bicycle.

Solution:

The circumference of a circle is:

[tex]C=2\pi r[/tex]

Where, r is the radius of the circle.

The diameter of the wheel is 2 feet. So, the radius of the circle is 1 feet.

Putting [tex]\pi =3.14, r=1[/tex] in the above formula, we get

[tex]C=2(3.14)(1)[/tex]

[tex]C=6.28[/tex]

It means the distance covered by the wheel in one revolution is 6.28 feet.

Number of revolution is 100. So, the total distance covered by the wheel in 100 revolution is:

[tex]6.28\times 100=628[/tex]

The total distance covered by the bicycle in 100 revolution is 628 feet.

Therefore, the correct option is B.