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Lin's bike travels 100 meters when her wheels rotate 55 times. What is the circumference of her wheels?

Ask by Reyes Reid. in the United States
Nov 06,2024

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The circumference of Lin's bike wheels is \( \frac{20}{11} \) meters or approximately 1.8181 meters.

Solución

To find the circumference of Lin's bike wheels, we can use the formula: \[ \text{Circumference} = \frac{\text{Distance}}{\text{Number of rotations}} \] Given that Lin's bike travels 100 meters when her wheels rotate 55 times, we can substitute these values into the formula to find the circumference of her wheels. \[ \text{Circumference} = \frac{100 \, \text{meters}}{55 \, \text{rotations}} \] Let's calculate the circumference. Calculate the value by following steps: - step0: Calculate: \(\frac{100}{55}\) - step1: Reduce the fraction: \(\frac{20}{11}\) The circumference of Lin's bike wheels is \( \frac{20}{11} \) meters or approximately 1.8181 meters.

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Beyond the Answer

To find the circumference of Lin's bike wheels, you can use the formula that relates distance traveled to the number of rotations and the circumference. Since her bike travels 100 meters with 55 wheel rotations, you can divide the total distance by the number of rotations: Circumference = Total distance / Number of rotations = 100 meters / 55 = approximately 1.82 meters. So, the circumference of her wheels is about 1.82 meters! Now, let's keep the wheels turning with some interesting tidbits. Did you know that the circumference of a circle is found using the formula 2πr? Understanding this can help you figure out wheel sizes in general, which comes in handy when picking the right tires for different terrains! Also, if you're ever buying new bike wheels, it's essential to account for the circumference when switching tire sizes. A larger circumference means more distance per pedal stroke, but it can also make maneuvering a bit trickier. Always consider your biking needs before making a purchase!

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