Answer:
A
Step-by-step explanation:
The arc length formula is:
Arc Length = [tex]\frac{\theta}{360}*2\pi r[/tex]
Where
[tex]\theta[/tex] is the angle measure of the arc, and
2πr is the circumference
Putting 84 in place of circumference and 14 in place of arc length, we can solve for [tex]\theta[/tex]:
Arc Length = [tex]\frac{\theta}{360}*2\pi r[/tex]
14 = [tex]\frac{\theta}{360}*(84)[/tex]
14 = [tex]\frac{84\theta}{360}[/tex]
[tex]14*360=84\theta\\5040=84\theta\\\theta=\frac{5040}{84}=60[/tex]
answer choice A is right.