Ab is tangent to circle o at b. find the length of the radius (r) for ab = 6 and ao = 11.7. round to the nearest tenth if necessary. the diagram is not to scale.

Connecting all the end points of the segments will form a right triangle with one leg equal to AB = 6. Its hypotenuse is AO = 11.7. From the Pythagorean theorem,
                           (AO)² = (AB)² + (BO)²
where BO is the radius (r). Substituting the values,
                             11.7² = 6² + r²
The value of r is approximately 10.0