QuestionSeptember 5, 2026

A bicycle has 22 in wheels (in diameter). Part: 0/5 Part 1 of 5 (a) What distance will the bicycle travel with one rotation of the wheels? Give the exact distance and an approximation to the nearest tenth of an inch. The bicycle will travel square in or approximately square in

A bicycle has 22 in wheels (in diameter). Part: 0/5 Part 1 of 5 (a) What distance will the bicycle travel with one rotation of the wheels? Give the exact distance and an approximation to the nearest tenth of an inch. The bicycle will travel square in or approximately square in
A bicycle has 22 in wheels (in diameter).
Part: 0/5
Part 1 of 5
(a) What distance will the bicycle travel with one rotation of the wheels? Give the exact distance and an approximation to the nearest tenth of an inch.
The bicycle will travel square  in or approximately square  in

Solution
4.3(281 votes)

Answer

The bicycle will travel ( 22\pi ) in or approximately 69.1 in. Explanation 1. Calculate the Circumference The distance traveled in one rotation is the circumference of the wheel. The formula for the circumference ( C ) of a circle is \( C = \pi \times d \), where ( d ) is the diameter. 2. Substitute the Diameter Substitute the given diameter of 22 inches into the formula: \( C = \pi \times 22 \). 3. Calculate the Exact Circumference Calculate the exact circumference: ( C = 22\pi ). 4. Approximate the Circumference Approximate ( 22\pi ) using \( \pi \approx 3.14159 \): \( C \approx 22 \times 3.14159 \). 5. Round to the Nearest Tenth Round the approximation to the nearest tenth.

Explanation

1. Calculate the Circumference<br /> The distance traveled in one rotation is the circumference of the wheel. The formula for the circumference ( C ) of a circle is \( C = \pi \times d \), where ( d ) is the diameter.<br />2. Substitute the Diameter<br /> Substitute the given diameter of 22 inches into the formula: \( C = \pi \times 22 \).<br />3. Calculate the Exact Circumference<br /> Calculate the exact circumference: ( C = 22\pi ).<br />4. Approximate the Circumference<br /> Approximate ( 22\pi ) using \( \pi \approx 3.14159 \): \( C \approx 22 \times 3.14159 \).<br />5. Round to the Nearest Tenth<br /> Round the approximation to the nearest tenth.
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