Answer:
The radius of the circle with diameter DG is 8.5 cm.
Step-by-step explanation:
Diameter of the circle = DG
Radius of the circle = r = DG/2
First we need to find the Diameter DG:
We have OG = 12 cm and OD = 5 cm
With the limited information given in the question, we assume that O is some point on the line DG but it is not the center of the circle. Otherwise, OG and OD would be the same.
So, DG = OG + OD
DG = 12+5
DG = 17 cm
Now,
r = DG/2
r = 17/2
radius = r = 8.5 cm