Question

The tire pictured below has a radius of 14 inches

Answer 1

B

Explanation:

Circumference = pi * d = 28 pi inches

twenty four of these is 24 * 28 pi inches = 2111.15 in = 175.9 ft

Answer 2

To determine the distance rolled by the tire in 24 revolutions, use the following formula:

`s=r\theta`

where r is the radius (14 in) and θ the degrees of the revolutions. Consider each revoutions represents 180 degrees or 2π radians, the, 24 revolutions are 24x2π = 48π.

Replace the values of r and θ into the formula for s:

`s=(14in)(48)(3.14)=2,110.08in\approx2,110in`

Hence, the tire rolls 2,110 in