Answer:
r ≈ 12.1
Step-by-step explanation:
from the diagram the radius r of the circle is GM and GE and
GA = r - 4
using Pythagoras' identity in right triangle AGM , then
9² + (r - 4)² = r² ← expand factor on left using FOIL
81 + r² - 8r + 16 = r² ( subtract r² from both sides )
97 - 8r = 0 ( subtract 97 from both sides )
- 8r = - 97 ( divide both sides by - 8 )
r = [tex]\frac{-97}{-8}[/tex] ≈ 12.1 ( to 1 dec. place )
