Circle Radius From End Piece Measurements

A piece of a circle was cut off along a chord of length $B=2$ . The greatest perpendicular distance from the chord to the circular arc is $A=\dfrac{1}{3}$ . The radius of the parent circle can be expressed as $\dfrac{X}{Y}$ , where $X$ and $Y$ , where $X$ and $Y$ are coprime positive integers . What is the sum of $X$ and $Y$ ?