Call the center of the circle \(L\)
\(SL=r\)
\(KL=r\)
\(OL=45-r\)
By pythagorean theorem:
(Hypotenuse of Triangle SOK)^2 - (Longer side of triangle SOK)^2= (Hypotenuse of triangle KOL)^2 - (Shorter side of triangle KOL)^2
\(52^2-45^2=r^2-(45-r)^2\)
Now it's your turn to solve.