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It is asking for the length of the 270 degree arc.
oh i am sorry, its xpy, i just saw that, good stuff
how did you get that?
Circumference = 2*pi*radius = 20*pi.
Arc mentioned is 3/4th of the circumference = 15*pi.
This problem has to do with the circumference of a circle and a portion of that circumference thought of as "arc length." Note that the arc length you seek is not the one cut off by the central angle of 90 (minor arc XY) but the length of the major arc XPY. The degree measure for that major arc is 270 degrees (360 - 90) where 90 is the minor arc.
Set up a proportion: 270 is to 360 as AL is to 2 pi r where AL represents the arc length you want. Notice that 2 pi r is the circumference of the circle. This problem is similar to one of exchanging one type of currency for another.
270 / 360 = AL / (2 pi r)
3 / 4 = AL / (2 pi *10)
3 / 4 = AL / (20 pi)
AL = 15 pi