Question

Trey races his bicycle for 192m. A wheel of his bicycle turns 48 times as the bicycle travels this distance. What is the diameter of the wheel? Use the value 3.14 for π. Round your answer to the nearest tenth. Do not round any intermediate steps.

Answer 1

1.29 meters

Step-by-step explanation:

In order to calculate this you first have to calculate the circumference of the wheel, as you know to travel 192 meters the wheel did 48 revolutions, that means that it took 48 circumferences of the wheel to cover 192 meters, we first have to divide the 192 meters by the circumference:

Circumference:192 m/48=4m

So to know the diameter we just need to divide the circumference by pi:

diameter=circumference/pi

Diameter=4 meters/3.14

Diameter= 1.2861 meters.

Answer 2

1.27 m

Step-by-step explanation:

Distance = 192 m

number of rotations = 48

Distance traveled in one rotation = 2 x π x r

Where, r be the radius of wheel.

so, distance traveled in 48 rotations = 48 x 2 x 3.14 x r

It is equal to the distance traveled.

192 = 48 x 2 x 3.14 x r

r = 0.637 m

diameter of wheel = 2 x radius of wheel = 2 x 0.637 = 1.27 m