Set OC and OD equal to each other.
6x + 2 = 10x - 16
Combine like terms by moving them over.
Subtract 2 from both sides.
6x = 10x - 18
Subtract 10x from both sides.
-4x = -18
Divide both sides by -4 to get x.
x = 4.5
Substitute 4.5 in for x.
6(4.5) + 2 = 10(4.5) - 16
27 + 2 = 45 - 16
29 = 29
The radius of circle O is 29.