If the arc on a particular circle has an arc length of 14 inches, and the circumference of the circle is 84 inches, what is the angle measure of the arc?
A.
60°
B.
90°
C.
120°
D.
180°

Respuesta :

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.