Answer:
It should be [tex]6\pi[/tex]
Step-by-step explanation:
To find the length of an arc, you need this formula:
Arc length [tex]= \frac{a}{360} 2\pi r[/tex]
-Use both the radius and the angle of the arc:
[tex]A = \frac{180}{360} 2\pi (6)[/tex]
-Then, you solve:
[tex]A = \frac{180}{360} 2\pi (6)[/tex]
[tex]A = \frac{180}{360} \times 2 \times \pi \times 6[/tex]
[tex]A = \frac{1}{2} \times 2 \times \pi \times 6[/tex]
[tex]A = \pi \times 6[/tex]
[tex]A = 6\pi[/tex]
So, the answer should be [tex]6\pi[/tex] .
