Subjects geometry

Ferris Wheel Spacing Cea0Db

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1. **State the problem:** A Ferris wheel has a diameter of 140 feet and 40 cars placed evenly around it. We need to find the distance between adjacent cars. 2. **Formula used:** The cars are evenly spaced on the circumference of the Ferris wheel, so the distance between cars is the arc length between two adjacent points. The circumference $C$ of a circle is given by: $$C = \pi \times d$$ where $d$ is the diameter. 3. **Calculate the circumference:** $$C = 3.14 \times 140 = 439.6 \text{ feet}$$ 4. **Calculate the distance between cars:** Since there are 40 cars evenly spaced, the distance between adjacent cars is: $$\frac{C}{40} = \frac{439.6}{40} = 10.99 \approx 11 \text{ feet}$$ 5. **Answer:** The cars are approximately 11 feet apart.