Find the length of the arc of a circle of diameter 6 meters subtended by a central angle of $\frac{3 \pi}{5}$ radians.
Round your answer to two decimal places.
\[
s=\text { Number meters }
\]
Answer
Finally, round the result to two decimal places. The length of the arc of the circle is \(\boxed{5.65}\) meters.
Step 1 ：Given the diameter of the circle is 6 meters and the central angle is \( \frac{3 \pi}{5} \) radians.
Step 2 ：First, calculate the radius of the circle. The radius is half of the diameter, so the radius is \( \frac{6}{2} = 3 \) meters.
Step 3 ：Next, calculate the length of the arc. The formula for the length of an arc is \( s = r \theta \), where \( r \) is the radius and \( \theta \) is the angle in radians. Substituting the given values, we get \( s = 3 \times \frac{3 \pi}{5} \).
Step 4 ：Finally, round the result to two decimal places. The length of the arc of the circle is \(\boxed{5.65}\) meters.
