15. CrCuNG The tire for a 10-speed bicycle has a diameter of 27 inches. Find the distance traveled in 10 rotations of the tire. Round to the ncarest tenth.
Answer
Final Answer: The distance traveled in 10 rotations of the tire is \(\boxed{848.2}\) inches.
Step 1 ：The diameter of the bicycle tire is given as 27 inches. Therefore, the radius of the tire is half of the diameter, which is \(\frac{27}{2} = 13.5\) inches.
Step 2 ：The distance traveled in one rotation of the tire is equal to the circumference of the tire. The formula for the circumference of a circle is \(2\pi r\), where r is the radius. Therefore, the distance traveled in one rotation is \(2\pi(13.5)\) inches.
Step 3 ：To find the distance traveled in 10 rotations, we simply multiply the distance traveled in one rotation by 10. Therefore, the distance traveled in 10 rotations is \(10 \times 2\pi(13.5)\) inches.
Step 4 ：Calculating the above expression gives a distance of approximately 848.2 inches.
Step 5 ：Final Answer: The distance traveled in 10 rotations of the tire is \(\boxed{848.2}\) inches.
