Subjects geometry

Ferris Wheel Distance 75611F

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1. **State the problem:** Emil rides a Ferris wheel with a radius of 28 meters, which completes 3 full rotations. We need to find the total distance Emil travels on the ride, rounded to 1 decimal place. 2. **Formula used:** The distance traveled along the circumference of a circle is given by the formula for the circumference: $$C = 2\pi r$$ where $r$ is the radius of the circle. 3. **Calculate the circumference:** $$C = 2 \times \pi \times 28 = 56\pi$$ meters. 4. **Calculate total distance for 3 rotations:** Since Emil completes 3 full rotations, the total distance traveled is: $$D = 3 \times 56\pi = 168\pi$$ meters. 5. **Evaluate the numerical value:** Using $\pi \approx 3.1416$, $$D \approx 168 \times 3.1416 = 527.7872$$ meters. 6. **Round to 1 decimal place:** $$D \approx 527.8$$ meters. **Final answer:** Emil travels approximately **527.8 meters** on the Ferris wheel ride.