Circumference = 2 pi r, where r is the radius
For this circle, the circumference is 11pi, so 11pi=2piradius. Divide both sides by 2pi and you get r is = to 5.5 inches.
Area of a circle is pir^2. Since we just saw that r = 5.5 inches, the circle has an area of 5.5 inches 5.5 inches * pi or 30.25 pi inches squared.