Answer: [tex]arc\ length =13.19cm[/tex]
Step-by-step explanation:
You need to use the following formula:
[tex]arc\ length=r\theta[/tex]
Where "r" is the radius and [tex]\theta[/tex] is is the central angle of the arc in radians.
Assuming that that the angle [tex]\frac{3\pi }{5}[/tex] is the central angle of the arc, and knowing that the radius is 7 centimeters, you can substitute values into the formula.
Therefore, you get:
[tex]arc\ length=r\theta\\\\arc\ length= (7cm)(\frac{3\pi}{5})}\\\\arc\ length =13.19cm[/tex]
