In a circle with a radius of 3635 cm, an arc is intercepted by a central angle of 2π7 radians. What is the arc length? Use 3.14 for π and round your final answer to the nearest hundredth. Enter your answer as a decimal in the box.

For this case, the first thing you should know is that the formula for the arc length is given by: [tex]S = R * \alpha[/tex]Where, R: radius of the circle α: central angle. For this case we are going to assume that the correct data are: [tex]R = \frac {36} {35}\\\alpha = \frac {2 \pi} {7}[/tex]Substituting values we have: [tex]S = \frac {36} {35} * \frac {2 \pi} {7}[/tex]Calculated: [tex]S = 0.923 cm[/tex]Answer: The arc length is: [tex]S = 0.923 cm[/tex]