Draw a line from point x to point r to form a right triangle.
Looking at triangle RSX.
RS is equal to 1/2 of RT = 12 cm
XR is equal to the radius 20 cm
By the Pythagorean Theorem:
RS**2 + XS**2 = XR**2
12**2 + XS**2 = 20**2
XS**2 = 256
XS = 16 cm (C)