Question

a unicycle wheel has a diameter of 14 inches and a radius of 7 inches. how many inches will the unicycle travel in 5 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). Given \( d = 14 \) inches and \( \pi = 3.14 \), we calculate \( C = 3.14\times14 \).
\( 3.14\times14 = 43.96 \) inches.

Step2: Calculate distance for 5 revolutions

In one revolution, the unicycle travels a distance equal to the circumference. For 5 revolutions, we multiply the circumference by 5: \( \text{Distance} = 43.96\times5 \).
\( 43.96\times5 = 219.8 \) inches.

Answer:

219.8