Question

select the correct answer.

a bicycle wheel company packages each wheel in a square box. each wheel has a circumference of about 56.5 inches. what is the approximate length of each side of the box?

24 in
81 in
18 in
9 in

Explanation:

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<reasoning>

Relate the box side length to the wheel diameter

\[
s = d
\]

Calculate the diameter from the circumference

\[

$$\begin{aligned} C &= \pi d \\ 56.5 &\approx 3.14159 \cdot d \\ d &\approx \frac{56.5}{3.14159} \approx 17.98 \text{ in} \end{aligned}$$

\]

Determine the approximate side length

\[
s \approx 18 \text{ in}
\]
</reasoning>

<answer>
<mcq-option>(A) 24 in</mcq-option>
<mcq-option>(B) 81 in</mcq-option>
<mcq-correct>(C) 18 in</mcq-correct>
<mcq-option>(D) 9 in</mcq-option>
</answer>

<post_analysis>
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"subject": "Mathematics",
"question_type": "Multiple Choice",
"knowledge_point": [
"Mathematics",
"Geometry",
"Circumference of a Circle"
]
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</post_analysis>

Answer:

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"step_cot",
"multiple_choice_formatter",
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"Circumference of a Circle",
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]
}
</pre_analysis>

<reasoning>

Relate the box side length to the wheel diameter

\[
s = d
\]

Calculate the diameter from the circumference

\[

$$\begin{aligned} C &= \pi d \\ 56.5 &\approx 3.14159 \cdot d \\ d &\approx \frac{56.5}{3.14159} \approx 17.98 \text{ in} \end{aligned}$$

\]

Determine the approximate side length

\[
s \approx 18 \text{ in}
\]
</reasoning>

<answer>
<mcq-option>(A) 24 in</mcq-option>
<mcq-option>(B) 81 in</mcq-option>
<mcq-correct>(C) 18 in</mcq-correct>
<mcq-option>(D) 9 in</mcq-option>
</answer>

<post_analysis>
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"Mathematics",
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