Answer:
[tex]\sqrt{87} \approx 9.33\: Units[/tex]
Step-by-step explanation:
The figure is attached below.
In Right Triangle ABC, the length of the radius of the circle is |AB|
|AC|=16, |BC|=13
Using Pythagoras Theorem
[tex]Hypotenuse^2=Opposite^2+Adjacent^2\\|AC|^2=|BC|^2+|AB|^2\\16^2=13^2+|AB|^2\\|AB|^2=16^2-13^2\\|AB|^2=87\\|AB|=\sqrt{87}\\|AB|= 9.33\: Units[/tex]
Radius of the Circle =9.33 Units.