Answer:
The answer is 68°.
Step-by-step explanation:
Following the arc length equation:
s = r * θ where s is arc length, r is radius of the circle, and θ is the angle in radians.
12 is the Radius of the Circle and therefore solve for θ:
θ = [tex]\frac{s}{r}[/tex] = [tex]\frac{\frac{68\pi }{15} }{12}[/tex] = [tex]\frac{17\pi }{45}[/tex] rad. or radians
Now, convert the radians to degrees:
[tex]\frac{17\pi }{45}[/tex] = 68°