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A hamster wheel has a 7 inch diameter. How many feet will a hamster travel in 161 revolutions of the wheel? (Round to the nearest whole number.)

Ask by Lang Goodwin. in the United States
Feb 26,2025

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The hamster travels approximately 295 feet in 161 revolutions of the wheel.

Solución

First, calculate the circumference of the wheel in inches. The circumference C is given by:   C = π × diameter = π × 7 inches. In one revolution, the hamster travels 7π inches. For 161 revolutions, the total distance in inches is:   Distance = 161 × 7π = 1127π inches. To convert this to feet, note that 12 inches = 1 foot. Thus:   Distance in feet = (1127π) / 12. Now, approximate π as 3.1416:   Distance in feet ≈ (1127 × 3.1416) / 12 ≈ 3540.98 / 12 ≈ 295.08 feet. Rounding to the nearest whole number, the hamster travels about 295 feet.

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The Deep Dive

To find out how far a hamster will travel in 161 revolutions of a 7-inch diameter wheel, first, we calculate the circumference of the wheel. The formula for circumference is \(C = \pi \times d\), where \(d\) is the diameter. With a diameter of 7 inches, the circumference is approximately \(21.99\) inches (using \(\pi \approx 3.14\)). Now, multiply the circumference by the number of revolutions: \(21.99 \, \text{inches} \times 161 \, \text{revolutions} \approx 3540.39 \, \text{inches}\). To convert inches to feet, we divide by 12: \(3540.39 \, \text{inches} \div 12 \approx 295.033\) feet. Rounding to the nearest whole number, the hamster will travel approximately **295 feet**. So, that little furball is getting quite the workout on those little paws!

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