Subjects geometry

Tire Distance 3A0Aec

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1. **State the problem:** We need to find the distance traveled by a tire after 3 full rotations. The tire has a diameter of 28 inches. 2. **Formula used:** The distance traveled in one full rotation is the circumference of the tire. The circumference $C$ of a circle is given by: $$C = \pi \times d$$ where $d$ is the diameter. 3. **Calculate the circumference:** Given $d = 28$ inches and $\pi \approx \frac{22}{7}$, $$C = \frac{22}{7} \times 28$$ 4. **Simplify the expression:** $$C = \frac{22}{7} \times \cancel{28}^4 = 22 \times 4 = 88 \text{ inches}$$ 5. **Calculate distance for 3 rotations:** $$\text{Distance} = 3 \times 88 = 264 \text{ inches}$$ 6. **Convert inches to feet:** Since 12 inches = 1 foot, $$\text{Distance in feet} = \frac{264}{12} = 22 \text{ feet}$$ **Final answer:** The distance traveled after 3 full rotations is **22 feet**. Therefore, the closest answer is **B 22 ft**.