Question

a unicycle wheel has a diameter of 24 inches and a radius of 12 inches. how many inches will the unicycle travel in 3 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 \( d = 24 \) inches and \( \pi = 3.14 \), we substitute these values into the formula: \( C = 3.14 \times 24 \). Calculating this, we get \( C = 75.36 \) inches. This is the distance the unicycle travels in one revolution.

Step2: Calculate the distance for 3 revolutions

To find the distance for 3 revolutions, we multiply the circumference by 3. So, \( \text{Distance} = 75.36 \times 3 \). Calculating this, we get \( \text{Distance} = 226.08 \) inches.

Answer:

226.08