Respuesta :

Circle circumference = 2 * PI * 6m = 12*PI meters
A circle has 360 degrees.  Arc XY has a central angle of 90 degrees.
Therefore arc XPY = has a central angle of 270 degrees.
arc XPY = 270/360 * 12*PI meters = 9*PI meters
Answer is B



The angle of XPY is 360-90, or 270 degrees.
That's 3/4 of a complete circle arc (270/350 = 3/4).

Let's first find the total circumference.
[tex]C=2 \pi r= 12 \pi[/tex]

Multiply that with 3/4
[tex]3/4*12\pi=9 \pi[/tex]

Your answer is the second choice. Hope this helps! :)