Answer:
[tex]69.08\ ft[/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=12\ ft[/tex]
substitute
[tex]C=2\pi (12)[/tex]
[tex]C=24\pi\ ft[/tex]
step 2
Find the approximate length of arc s
we know that
The circumference of the circle subtends a central angle of 360 degrees
so
using proportion
Find out the length of arc for a central angle of 330 degrees
[tex]\frac{24\pi}{360}=\frac{x}{330}\\\\x=24\pi(330)/360[/tex]
[tex]x= 22\pi\ ft[/tex] ----> exact value
assume
[tex]\pi =3.14[/tex]
[tex]22\pi\ ft=22(3.14)=69.08\ ft[/tex] ----> approximate value
