Verified Answer :

meerkat18

First, determine the circumference of the circle by the equation, C = 2πr. 
                                  C = 2π(6) = 12π
Then, multiply this value by the ratio of the angle and whole revolution,
                                 12π x (60° / 360°) = 2π
Thus, the length of the arc is 2π.

JeanaShupp

Answer: \(2\pi\)

Step-by-step explanation:

The length of arc with central angle x and radius r is given by ;-

\(l=\dfrac{x}{360^{\circ}}\times2\pi r\)

Given: The radius of circle = 6 units

Central angle = 60°

Now, the length of arc measuring 60° is given by :_

\(l=\dfrac{60}{360^{\circ}}\times2\pi (6)\\\\\Rightarrow\ l=2\pi\)

Hence, the the length of arc =\(2\pi\)

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