Respuesta :

Answer:

6pi=2pi(r)(120/360)

r=9

C=(pi)d

C=(pi)18

c=18pi

Step-by-step explanation:

Answer:

Step-by-step explanation:

The measurement of AC = 6pi

120/360 * pi * 2 * R = 6*pi                The pi values cancel out.

1/3 * 2 * R =  6                                    Multiply by  3

2R = 18                                               Divide by 2

R = 9

the circumference = 2 * pi * R

C = 2 * pi *9

C = 18 * pi

Now you want the measurement of arc AB

120 = 6 * pi

30 = x

120/30 = 6pi/x            Cross multiply

120 * x = 180 * pi         Divide by 120

x = 180 pi / 120

x = 3/2 * pi

So the measurement of arc AB = 1.5 * pi