Answer:
Option B [tex]2\pi\ units[/tex]
Step-by-step explanation:
step 1
Find the circumference of the circle
The circumference is equal to
[tex]C=2\pi r[/tex]
we have
[tex]r=6\ units[/tex]
substitute
[tex]C=2\pi (6)[/tex]
[tex]C=12\pi\ units[/tex]
step 2
Find the length of an arc measuring 60°
we know that
The circumference of the circle subtends a central angle of 360 degrees
so
using proportion
find the length of an arc measuring 60°
[tex]\frac{12\pi}{360}=\frac{x}{60}\\ \\x=12\pi(60)/360\\\\x=2\pi\ units[/tex]
