Illustration Shows Three Circles Traced Out by a Figure Skater $A = 10 , B = 18 , C = 20$

Multiple Choice

Illustration shows three circles traced out by a figure skater during her performance.If the centers of the circles are the given distances apart, find the radius of each circle.
$A = 10 , B = 18 , C = 20$

A) $\quad r _ { 1 } = 4 , r _ { 2 } = 6 , r _ { 3 } = 14$
B) $\quad r _ { 1 } = 3 , r _ { 2 } = 6 , r _ { 3 } = 15$
C) $\quad r _ { 1 } = 4 , r _ { 2 } = 14 , r _ { 3 } = 6$
D) $\quad r _ { 1 } = 14 , r _ { 2 } = 4 , r _ { 3 } = 6$
E) $\quad r _ { 1 } = 6 , r _ { 2 } = 14 , r _ { 3 } = 4$