Answer:
[tex]r=13.4[/tex]
Step-by-step explanation:
From the question we are told that:
Tangent [tex]AB=9[/tex]
Length [tex]AO=10[/tex]
Generally the angle at tangent [tex]\theta=90 \textdegree[/tex]
Therefore
Generally the equation for raduis R is mathematically given by
[tex]AO^2=AB^2+BO^2[/tex]
[tex]10^2=9^2+r^2[/tex]
[tex]r=\sqrt[100+81}[/tex]
[tex]r=13.4[/tex]
