Question

a unicycle wheel has a diameter of 12 inches and a radius of 6 inches. how many inches will the unicycle travel in 4 revolutions? use π = 3.14 and round your answer to the nearest hundredth of an inch.

Explanation:

Step1: Find the circumference of the wheel

The formula for the circumference of a circle is \( C = \pi d \) (where \( d \) is the diameter) or \( C = 2\pi r \) (where \( r \) is the radius). Using the diameter \( d = 12 \) inches, we have \( C=\pi\times12 \). Substituting \( \pi = 3.14 \), we get \( C = 3.14\times12=37.68 \) inches.

Step2: Calculate the distance for 4 revolutions

In one revolution, the unicycle travels a distance equal to the circumference of the wheel. For 4 revolutions, we multiply the circumference by 4: \( \text{Distance}=37.68\times4 = 150.72 \) inches.

Answer:

150.72