6. Higher Order Thinking A unicycle wheel makes five rotations. The unicycle travels 37.94 feet. Find the diameter of the wheel in inches. Use 3.14 for \( \pi \). Round to the nearest tenth of an inch.

To find the diameter of the unicycle wheel, first need to determine the circumference of the wheel. The formula for circumference (C) is given by \( C = \pi \times d \), where \( d \) is the diameter. Since the wheel makes five rotations over 37.94 feet, the total distance traveled in one rotation is \( \frac{37.94 \text{ feet}}{5} = 7.588 \text{ feet} \). Now, we need to convert 7.588 feet to inches (1 foot = 12 inches), resulting in \( 7.588 \times 12 = 91.056 \text{ inches} \). Now we can set the circumference equal to \( 91.056 = 3.14 \times d \). Solving for \( d \), we divide by \( 3.14 \): \[ d = \frac{91.056}{3.14} \approx 29.0 \text{ inches} \] Rounding to the nearest tenth gives a final answer of 29.0 inches for the diameter of the wheel. To make it even more exciting, did you know that unicycling has been around since the late 1800s? It originally sprang from the invention of the bicycle! Over time, trick riding and performance art evolved, leading to the unicycle being a favorite among circus performers and extreme sports enthusiasts. If you're planning to hop on a unicycle, start practicing in a safe area and consider using protective gear. Common mistakes include not leaning forward enough, which can lead to losing balance. It’s also crucial to look straight ahead, not down at the wheel. With patience and practice, you’ll be cruising around in no time!