Use the formula $s=r \omega t$ to find the value of the missing variable.
$\omega=\frac{\pi}{2}$ radians per sec, $r=8 \mathrm{~cm}, t=6 \mathrm{sec}$
\[
\mathrm{s}=\square \mathrm{cm}
\]
(Type an answer, using $\pi$.)

Answer

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Final Answer: $\boxed{75.40 cm}$

Steps

Step 1 ：Given that the formula for the arc length of a circle is $s = r \omega t$, where $r$ is the radius, $\omega$ is the angular velocity, and $t$ is the time.

Step 2 ：Substitute the given values into the formula: $r = 8 cm$, $\omega = \frac{\pi}{2} radians/sec$, and $t = 6 sec$.

Step 3 ：Calculate the arc length: $s = 8 cm * \frac{\pi}{2} radians/sec * 6 sec$.

Step 4 ：Simplify to find that $s \approx 75.40 cm$.

Step 5 ：Final Answer: $\boxed{75.40 cm}$

Use the formula $s=r \omega t$ to find the value of the missing variable.$\omega=\frac{\pi}{2}$ radians per sec, $r=8 \mathrm{~cm}, t=6 \mathrm{sec}$\[\mathrm{s}=\square \mathrm{cm}\](Type an answer, using $\pi$.)

Answer

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Use the formula $s=r \omega t$ to find the value of the missing variable.
$\omega=\frac{\pi}{2}$ radians per sec, $r=8 \mathrm{~cm}, t=6 \mathrm{sec}$
\[
\mathrm{s}=\square \mathrm{cm}
\]
(Type an answer, using $\pi$.)