Verified Answer :

assuming the angle is in radians.... you should say so. 

r =6cm, diameter = 12 cm and circum = 12π 
arc length = circum(angle/2π) 
arc length = 12π(2π/5)(1/2π) = 12π/5 = 7.54

Hope I helped :)

Answer:

Arc length = 7.53 cm  

Step-by-step explanation:

We have given that : Radius = 6 cm

and given Angle = \(\theta=\frac{2\pi }{5}\)

We have to find: The Arc length(A)

Solution: The formula of arc length is given by,

                Arc length(A) = radius × angle(in radian)

                      \(A= 6\times\frac{2\pi }{5}\)

                     \(A=\frac{12\pi }{5}\)

                           A= 7.53 cm


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