Question

find the outer circumference of a pipe with a \\(0.5\text{ in}\\) radius. approximate the answer by using \\(3.14\\) for \\(\pi\\). round your answer to two decimal places.

the outer circumference of the pipe is approximately in.

Explanation:

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<reasoning>

Identify the given values and formula

\[

$$\begin{aligned} r &= 0.5\text{ in} \\ \pi &\approx 3.14 \\ C &= 2\pi r \end{aligned}$$

\]

Calculate the circumference

\[

$$\begin{aligned} C &= 2 \times 3.14 \times 0.5 \\ C &= 3.14\text{ in} \end{aligned}$$

\]

Round to two decimal places

\[
C \approx 3.14\text{ in}
\]
</reasoning>

<answer>
The outer circumference of the pipe is approximately <blank>3.14</blank> in .
</answer>

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"question_type": "Fill-in-the-blank",
"knowledge_point": [
"Mathematics",
"Geometry",
"Circumference Formula"
]
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Answer:

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<reasoning>

Identify the given values and formula

\[

$$\begin{aligned} r &= 0.5\text{ in} \\ \pi &\approx 3.14 \\ C &= 2\pi r \end{aligned}$$

\]

Calculate the circumference

\[

$$\begin{aligned} C &= 2 \times 3.14 \times 0.5 \\ C &= 3.14\text{ in} \end{aligned}$$

\]

Round to two decimal places

\[
C \approx 3.14\text{ in}
\]
</reasoning>

<answer>
The outer circumference of the pipe is approximately <blank>3.14</blank> in .
</answer>

<post_analysis>
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"question_type": "Fill-in-the-blank",
"knowledge_point": [
"Mathematics",
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"Circumference Formula"
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