Question

Shannon's scooter has a piece of tape stuck to the tire. If the tire has a diameter of 18 inches, how far does the piece of tape travel in 72° of rotation?

Answer 1

Answer:

11.31 inches

Step-by-step explanation:

The tape will move along the circumference of the wheel, so first the circumference should be calculated using the radius, which is half of the diameter:

$C=2\pi r\\C=2\pi 9\\C=56.55 inches$

If the tape would go all the way around, it would travel for 360°. For this scenario it only travels a fraction of that:

$d=\frac{72}{360}*56.55\\d=11.31inches$

Answer 2

Shannon's scooter has a piece of tape stuck to the tire. If the tire has a diameter of 18 inches, the distance traveled by the piece of tape in 72 degree rotaion can be solve using:

S= ra, where s is the distance traveled, r is the radius and a is the angle in radians

s = (18in/2)(72 degree)(pi/180 degrees) = 11.31 in.