To find the arc length \( L \) of a circle given the radius and the central angle in radians, you can use the formula:
\[ L = r \theta \]
where \( r \) is the radius and \( \theta \) is the central angle in radians.
In your case:
- The radius \( r = 10 \) feet.
- The central angle \( \theta = \frac{3\pi}{4} \) radians.
Now, substituting the values into the formula:
\[ L = 10 \times \frac{3\pi}{4} \]
Calculating this, we get:
\[ L = \frac{30\pi}{4} = \frac{15\pi}{2} \]
Therefore, the arc length is:
\[ \frac{15\pi}{2} \]
So, the correct response from the options given is:
Start Fraction 15 pi over 2 End Fraction (15π/2).