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! :)