Question

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? A \( 314 \mathrm{~m}^{\square} \) C \( 157 \mathrm{~m}^{\square} \) B 3925 \mathrm{~m}^{\mathrm{n}} D \( 1962.5 \mathrm{~m}^{\square} \)

Ask by Nunez Cervantes. in the United States
Jan 23,2025

Real Tutor Solution

Tutor-Verified Answer

Answer

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

Solution

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: \[ C = \pi \times d \] where \( d \) is the diameter. Given: \[ d = 50 \text{ meters} \] \[ C = \pi \times 50 \approx 3.1416 \times 50 \approx 157.08 \text{ meters} \] 2. **Calculate the Distance for 2 Rotations:** \[ \text{Total Distance} = 2 \times C \approx 2 \times 157.08 \approx 314.16 \text{ meters} \] 3. **Match with the Given Options:** The closest option to \( 314.16 \) meters is: **A) \( 314 \text{ m} \)** **Answer:** **A) 314 m**

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The circumference of a circle is calculated using the formula \( C = \pi \times d \), where \( d \) is the diameter. For the Ferris wheel with a diameter of 50 meters, the circumference would be approximately \( 3.14 \times 50 = 157 \) meters. Now, if you take 2 rotations, you would travel around \( 2 \times 157 = 314 \) meters. So, the answer is \( A \, 314 \mathrm{~m}^{\square} \). Interestingly, the original Ferris wheel was a feat of engineering and a centerpiece for the 1893 World's Columbian Exposition in Chicago, symbolizing American ingenuity. It was so popular that it inspired future generations of amusement rides. Today, iconic Ferris wheels can be found in major cities around the world, becoming landmarks in their own rights, just like the one in Chicago!

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