Question

Find the radius of the circle with diameter DG if OG = 12 cm and OD = 5 cm

Answer 1

The radius of the circle with diameter DG is 8.5 cm.

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