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A wet bicycle tire leaves a trace of water on the floor. The tire has a radius of
30cm, and the bicycle wheel makes 3 full rotations before stopping.
How long is the trace of water left on the floor?
Round your answer to the nearest
cm.
cm

A wet bicycle tire leaves a trace of water on the floor. The tire has a radius of $30 \mathrm{~cm}$ , and the bicycle wheel makes $3$ full rotations before stopping. $\newline$ How long is the trace of water left on the floor? $\newline$ Round your answer to the nearest $\mathrm{cm}$ . $\newline$ $\square$ cm

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Pythagorean theorem

Full solution

Q. A wet bicycle tire leaves a trace of water on the floor. The tire has a radius of

30 \mathrm{~cm}

, and the bicycle wheel makes

3

full rotations before stopping.

\newline

How long is the trace of water left on the floor?

\newline

Round your answer to the nearest

\mathrm{cm}

.

\newline

\square

cm

Calculate Circumference: Calculate the circumference of the tire using the formula $C = 2 \cdot \pi \cdot r$ , where $r$ is the radius. $\newline$ $C = 2 \cdot \pi \cdot 30 \, \text{cm}$ $\newline$ $C = 60\pi \, \text{cm}$
Determine Total Length: Determine the total length of the trace by multiplying the circumference by the number of rotations. $\newline$ Total length = $C \times \text{number of rotations}$ $\newline$ Total length = $60\pi \, \text{cm} \times 3$ $\newline$ Total length = $180\pi \, \text{cm}$
Convert to Rounded Value: Convert the exact length to a rounded value to the nearest centimeter. $\newline$ Total length $\approx 180 \times 3.14$ cm $\newline$ Total length $\approx 565.2$ cm $\newline$ Round to the nearest cm: $565$ cm

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\newline

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\newline

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