Answer
x = 4.5 units
Radius = 29 units
Explanation
The center of the circle is point O.
So, any line drawn from that point O to any point on the circumference of the circle is the radius of the circle and will therefore have the same length.
Therefore, OC = OD
OC = 6x + 2
OD = 10x - 16
6x + 2 = 10x - 16
Rewriting this
10x - 16 = 6x + 2
10x - 6x = 2 + 16
4x = 18
Divide both sides by 4
(4x/4) = (18/4)
x = 4.5 units
Then, we can now calculate the radius of the circle now
Radius = OC = OD
= 6x + 2 or 10x - 16
= 6(4.5) + 2 or 10(4.5) - 16
= 27 + 2 or 45 - 16
= 29 units.
Hope this Helps!!!
