Answer:
[tex]s=\frac{275}{180}*\pi*12 \; ft\\\\s=57.60 \;ft[/tex]
Step-by-step explanation:
First, is necessary to convert the central angle[tex]\theta[/tex] of degrees to radians
[tex]\theta [rad]=\frac{275}{180}*\pi= 1.53 \;rad[/tex]
Then, the arc length can be calculated by multiply Central angle [tex]\theta[/tex] (in rad units) with the circle radius r:
[tex]s=\theta*r[/tex]
Replacing the values for [tex]\theta[/tex] and r:
[tex]s=1.53*\pi*12 \; ft\\\\s=57.60 \;ft[/tex]
