Answer:
5π yd
Explanation:
Given:
A circle
K - center
r (radius) = 3 yd
∠LKM = 60°
Find: arc LNM - ?
Since K is the center of the circle, ∠LKM is the central angle, that's why the size of the central angle is equal to the size of the arc on which it rests
∠LKM = arc LM = 60°
Since the whole circle forms an angle of 360°, we can find the angle of arc LNM:
360° - 60° = 300°
Now, we can find the length of this arc by using this formula:

r = 3 yd
α = 300°
l = 2π × 3 × 300° / 360° = 5π yd