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Answer :
We are given a circle with a radius of $10$ inches and a central angle of $\frac{2\pi}{3}$ radians. The formula for the arc length $s$ is given by
$$
s = r \theta,
$$
where $r$ is the radius and $\theta$ is the central angle in radians.
Substitute the given values into the formula:
$$
s = 10 \times \frac{2\pi}{3} = \frac{20\pi}{3}.
$$
Now, approximate the value:
$$
\frac{20\pi}{3} \approx 20.94 \text{ inches}.
$$
Thus, the approximate length of the arc is $\boxed{20.94 \text{ inches}}$.
$$
s = r \theta,
$$
where $r$ is the radius and $\theta$ is the central angle in radians.
Substitute the given values into the formula:
$$
s = 10 \times \frac{2\pi}{3} = \frac{20\pi}{3}.
$$
Now, approximate the value:
$$
\frac{20\pi}{3} \approx 20.94 \text{ inches}.
$$
Thus, the approximate length of the arc is $\boxed{20.94 \text{ inches}}$.
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Rewritten by : Jeany
