To find the length of the arc created by a central angle in a circle, you can use the formula:
\[ \text{Arc Length} = r \cdot \theta \]
where \( r \) is the radius of the circle and \( \theta \) is the central angle in radians.
- Find the radius: The diameter is given as 94 kilometers, so the radius \( r \) is:
\[ r = \frac{diameter}{2} = \frac{94}{2} = 47 \text{ kilometers} \]
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Use the central angle: The central angle is \( \frac{3\pi}{2} \) radians.
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Calculate the arc length:
\[ \text{Arc Length} = r \cdot \theta = 47 \cdot \frac{3\pi}{2} \]
- Perform the multiplication:
\[ \text{Arc Length} = 47 \cdot \frac{3\pi}{2} = \frac{141\pi}{2} \]
So, the length of the arc created by the angle is:
\[ \frac{141\pi}{2} \]
Among the provided options, the correct answer looks like:
\[ \frac{141\pi}{2} \]
Therefore, the correct response is:
\(\mathbf{141\pi/2}\)