Respuesta :
The length of arc is 69.1 feet
Solution:
The length of arc when angle given in degrees is given as:
[tex]Arc\ length = \frac{ \theta }{360} \times 2 \pi r[/tex]
Where,
r is the radius
[tex]\theta[/tex] is the central angle in degrees
From given,
[tex]r = 12\ feet\\\\\theta = 330^{\circ}[/tex]
Substituting the values we get,
[tex]Arc\ length = \frac{ 330 }{360} \times 2 \times 3.14 \times 12\\\\Arc\ length = \frac{ 330 }{360} \times 6.28 \times 12\\\\Arc\ length = 69.08 \approx 69.1[/tex]
Thus the length of arc is 69.1 feet
