ABCD is a square with side length 4 and center X. AB is the diameter of a semicircle that lies outside ABCD and Y is a point on that semicircle so that XY=12. Find the area of CDY

ABCD is a square with side length 4 and center X. AB is the diameter of a semicircle that lies outside ABCD and Y is a point on that semicircle so that XY=12. Find the area of CDY