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7. The first Ferris wheel, designed by George Ferris, was built in 1893 in Paris. France. It had a diameter of 50 meters. About how many meters would you travel around in 2 rotations of this wheel? \( \begin{array}{ll}\text { A } 314 \mathrm{~m}^{\square} & \text { C } 157 \mathrm{~m}^{\square} \\ \text { B } 3925 \mathrm{~m} & \text { D } 1962.5 \mathrm{~m}\end{array} \)

Ask by Lindsey Schneider. in the United States
Jan 23,2025

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You would travel approximately 314 meters in 2 rotations of the Ferris wheel. **Answer:** A) 314 m

Solución

To determine how many meters you would travel around the Ferris wheel in 2 rotations, follow these steps: 1. **Calculate the Circumference of the Ferris Wheel:** The circumference \( C \) of a circle is given by the formula: \[ C = \pi \times \text{diameter} \] Given the diameter is 50 meters: \[ C = \pi \times 50 \approx 3.14 \times 50 = 157 \text{ meters} \] 2. **Calculate the Distance for 2 Rotations:** \[ \text{Distance} = 2 \times \text{Circumference} = 2 \times 157 = 314 \text{ meters} \] **Answer:** **A) 314 m**

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The circumference of the Ferris wheel can be calculated using the formula \( C = \pi \times d \), where \( d \) is the diameter. With a diameter of 50 meters, the circumference is approximately \( \pi \times 50 \approx 157 \) meters. Therefore, for 2 rotations, you would travel around \( 157 \times 2 = 314 \) meters. A fun fact - when it was first built, the Ferris wheel was a marvel, rising high above the 1893 Chicago World's Fair and serving as a symbol of engineering ingenuity! This iconic structure not only provided breathtaking views but also sparked a revolution in amusement parks, leading to the modern rides we know today. The Ferris wheel concept has been replicated globally, with numerous designs and sizes, becoming a staple attraction that continues to delight millions. So, next time you hop on a Ferris wheel, remember you’re part of a tradition that stretches back over a century!

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