Question

find the length of arc abc.
use 3.14 for the value of \\(\pi\\).
? cm
round to the nearest hundredth of a cm.

Explanation:

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<reasoning>

Identify the given parameters

Using the Arc Length Formula knowledge point
\[

$$\begin{aligned} &r = 19\text{ cm}\\ &\theta = 180^\circ\\ &\pi \approx 3.14 \end{aligned}$$

\]

Calculate the arc length

Using the Arc Length Formula knowledge point
\[

$$\begin{aligned} s &= \frac{\theta}{360^\circ} \cdot 2\pi r\\ s &= \frac{180^\circ}{360^\circ} \cdot 2 \cdot 3.14 \cdot 19\\ s &= 0.5 \cdot 119.32\\ s &= 59.66\text{ cm} \end{aligned}$$

\]
</reasoning>

<answer>
Find the length of arc ABC. Use 3.14 for the value of \(\pi\).

<blank>59.66</blank> cm

Round to the nearest hundredth of a cm.
</answer>

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

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<reasoning>

Identify the given parameters

Using the Arc Length Formula knowledge point
\[

$$\begin{aligned} &r = 19\text{ cm}\\ &\theta = 180^\circ\\ &\pi \approx 3.14 \end{aligned}$$

\]

Calculate the arc length

Using the Arc Length Formula knowledge point
\[

$$\begin{aligned} s &= \frac{\theta}{360^\circ} \cdot 2\pi r\\ s &= \frac{180^\circ}{360^\circ} \cdot 2 \cdot 3.14 \cdot 19\\ s &= 0.5 \cdot 119.32\\ s &= 59.66\text{ cm} \end{aligned}$$

\]
</reasoning>

<answer>
Find the length of arc ABC. Use 3.14 for the value of \(\pi\).

<blank>59.66</blank> cm

Round to the nearest hundredth of a cm.
</answer>

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