Question

What is the radius of Circle G?

Answer 1

Answer:

r = 97/8 = 12.13

Step-by-step explanation:

Let r = radius = MG = EG

AG = r - 4

ΔMAG is a right triangle.  By the Pythagorean theorem, we have

$MG^{2} = MA^{2} + AG^{2}$

$r^{2} = 9^{2} + (r - 4)^{2}$ = $81 + r^{2} - 8r + 16$

8r = 81 + 16

8r = 97

r = 97/8